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Finding the Fourth Proportional to 78,572.43, 108,429.64 and 42,762.43

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Solution

The fourth proportional to 78,572.43, 108,429.64 and 42,762.43 is: 59,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.43 : 108,429.64 = 42,762.43 : x
  2. Step 2: Convert to fraction form
    78,572.43/108,429.64 = 42,762.43/x
  3. Step 3: Cross multiply
    78,572.43x = 108,429.64 × 42,762.43
  4. Step 4: Simplify right side
    78,572.43x = 4,636,714,919.06
  5. Step 5: Solve for x
    x = 4,636,714,919.06/78,572.43
  6. Step 6: Final answer
    x = 59,011.98

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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.