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Finding the Fourth Proportional to 103,282, 142,529.16 and 58,570

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Solution

The fourth proportional to 103,282, 142,529.16 and 58,570 is: 80,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,282 : 142,529.16 = 58,570 : x
  2. Step 2: Convert to fraction form
    103,282/142,529.16 = 58,570/x
  3. Step 3: Cross multiply
    103,282x = 142,529.16 × 58,570
  4. Step 4: Simplify right side
    103,282x = 8,347,932,901.20
  5. Step 5: Solve for x
    x = 8,347,932,901.20/103,282
  6. Step 6: Final answer
    x = 80,826.60

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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.