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Finding the Fourth Proportional to 138,937.16, 208,405.74 and 92,281.16

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Solution

The fourth proportional to 138,937.16, 208,405.74 and 92,281.16 is: 138,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,937.16 : 208,405.74 = 92,281.16 : x
  2. Step 2: Convert to fraction form
    138,937.16/208,405.74 = 92,281.16/x
  3. Step 3: Cross multiply
    138,937.16x = 208,405.74 × 92,281.16
  4. Step 4: Simplify right side
    138,937.16x = 19,231,923,437.86
  5. Step 5: Solve for x
    x = 19,231,923,437.86/138,937.16
  6. Step 6: Final answer
    x = 138,421.74

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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.