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Finding the Fourth Proportional to 138,314.79, 190,892.60 and 77,897.25

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Solution

The fourth proportional to 138,314.79, 190,892.60 and 77,897.25 is: 107,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314.79 : 190,892.60 = 77,897.25 : x
  2. Step 2: Convert to fraction form
    138,314.79/190,892.60 = 77,897.25/x
  3. Step 3: Cross multiply
    138,314.79x = 190,892.60 × 77,897.25
  4. Step 4: Simplify right side
    138,314.79x = 14,870,008,195.86
  5. Step 5: Solve for x
    x = 14,870,008,195.86/138,314.79
  6. Step 6: Final answer
    x = 107,508.45

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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.