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Finding the Fourth Proportional to 137,497.56, 205,838.04 and 74,978.52

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Solution

The fourth proportional to 137,497.56, 205,838.04 and 74,978.52 is: 112,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.56 : 205,838.04 = 74,978.52 : x
  2. Step 2: Convert to fraction form
    137,497.56/205,838.04 = 74,978.52/x
  3. Step 3: Cross multiply
    137,497.56x = 205,838.04 × 74,978.52
  4. Step 4: Simplify right side
    137,497.56x = 15,433,431,598.90
  5. Step 5: Solve for x
    x = 15,433,431,598.90/137,497.56
  6. Step 6: Final answer
    x = 112,245.13

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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.