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Finding the Fourth Proportional to 142,772.56, 214,169.76 and 37,590

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Solution

The fourth proportional to 142,772.56, 214,169.76 and 37,590 is: 56,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772.56 : 214,169.76 = 37,590 : x
  2. Step 2: Convert to fraction form
    142,772.56/214,169.76 = 37,590/x
  3. Step 3: Cross multiply
    142,772.56x = 214,169.76 × 37,590
  4. Step 4: Simplify right side
    142,772.56x = 8,050,641,278.40
  5. Step 5: Solve for x
    x = 8,050,641,278.40/142,772.56
  6. Step 6: Final answer
    x = 56,387.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.