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Finding the Fourth Proportional to 138,192.84, 190,691.42 and 77,762.43

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Solution

The fourth proportional to 138,192.84, 190,691.42 and 77,762.43 is: 107,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,192.84 : 190,691.42 = 77,762.43 : x
  2. Step 2: Convert to fraction form
    138,192.84/190,691.42 = 77,762.43/x
  3. Step 3: Cross multiply
    138,192.84x = 190,691.42 × 77,762.43
  4. Step 4: Simplify right side
    138,192.84x = 14,828,627,810.54
  5. Step 5: Solve for x
    x = 14,828,627,810.54/138,192.84
  6. Step 6: Final answer
    x = 107,303.88

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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.