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Finding the Fourth Proportional to 103,257,527.02, 142,489,978.35 and 56,838,714.46

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Solution

The fourth proportional to 103,257,527.02, 142,489,978.35 and 56,838,714.46 is: 78,434,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257,527.02 : 142,489,978.35 = 56,838,714.46 : x
  2. Step 2: Convert to fraction form
    103,257,527.02/142,489,978.35 = 56,838,714.46/x
  3. Step 3: Cross multiply
    103,257,527.02x = 142,489,978.35 × 56,838,714.46
  4. Step 4: Simplify right side
    103,257,527.02x = 8,098,947,192,847,232
  5. Step 5: Solve for x
    x = 8,098,947,192,847,232/103,257,527.02
  6. Step 6: Final answer
    x = 78,434,448.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.