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Finding the Fourth Proportional to 102,167.52, 140,980.14 and 56,838.30

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Solution

The fourth proportional to 102,167.52, 140,980.14 and 56,838.30 is: 78,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167.52 : 140,980.14 = 56,838.30 : x
  2. Step 2: Convert to fraction form
    102,167.52/140,980.14 = 56,838.30/x
  3. Step 3: Cross multiply
    102,167.52x = 140,980.14 × 56,838.30
  4. Step 4: Simplify right side
    102,167.52x = 8,013,071,491.36
  5. Step 5: Solve for x
    x = 8,013,071,491.36/102,167.52
  6. Step 6: Final answer
    x = 78,430.71

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1.5x scale

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.