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Finding the Fourth Proportional to 138,064.49, 190,530.14 and 77,634.61

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Solution

The fourth proportional to 138,064.49, 190,530.14 and 77,634.61 is: 107,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,064.49 : 190,530.14 = 77,634.61 : x
  2. Step 2: Convert to fraction form
    138,064.49/190,530.14 = 77,634.61/x
  3. Step 3: Cross multiply
    138,064.49x = 190,530.14 × 77,634.61
  4. Step 4: Simplify right side
    138,064.49x = 14,791,732,490.79
  5. Step 5: Solve for x
    x = 14,791,732,490.79/138,064.49
  6. Step 6: Final answer
    x = 107,136.40

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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.