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Finding the Fourth Proportional to 138,379.59, 190,938.45 and 77,937.30

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Solution

The fourth proportional to 138,379.59, 190,938.45 and 77,937.30 is: 107,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,379.59 : 190,938.45 = 77,937.30 : x
  2. Step 2: Convert to fraction form
    138,379.59/190,938.45 = 77,937.30/x
  3. Step 3: Cross multiply
    138,379.59x = 190,938.45 × 77,937.30
  4. Step 4: Simplify right side
    138,379.59x = 14,881,227,259.19
  5. Step 5: Solve for x
    x = 14,881,227,259.19/138,379.59
  6. Step 6: Final answer
    x = 107,539.18

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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.