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Finding the Fourth Proportional to 138,373.34, 190,934.12 and 77,940.16

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Solution

The fourth proportional to 138,373.34, 190,934.12 and 77,940.16 is: 107,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,373.34 : 190,934.12 = 77,940.16 : x
  2. Step 2: Convert to fraction form
    138,373.34/190,934.12 = 77,940.16/x
  3. Step 3: Cross multiply
    138,373.34x = 190,934.12 × 77,940.16
  4. Step 4: Simplify right side
    138,373.34x = 14,881,435,862.26
  5. Step 5: Solve for x
    x = 14,881,435,862.26/138,373.34
  6. Step 6: Final answer
    x = 107,545.54

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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.