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Finding the Fourth Proportional to 138,145.32, 190,641.45 and 77,715.47

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Solution

The fourth proportional to 138,145.32, 190,641.45 and 77,715.47 is: 107,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.32 : 190,641.45 = 77,715.47 : x
  2. Step 2: Convert to fraction form
    138,145.32/190,641.45 = 77,715.47/x
  3. Step 3: Cross multiply
    138,145.32x = 190,641.45 × 77,715.47
  4. Step 4: Simplify right side
    138,145.32x = 14,815,788,935.02
  5. Step 5: Solve for x
    x = 14,815,788,935.02/138,145.32
  6. Step 6: Final answer
    x = 107,247.85

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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.