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Finding the Fourth Proportional to 138,374.47, 190,956.77 and 77,945.11

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Solution

The fourth proportional to 138,374.47, 190,956.77 and 77,945.11 is: 107,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,374.47 : 190,956.77 = 77,945.11 : x
  2. Step 2: Convert to fraction form
    138,374.47/190,956.77 = 77,945.11/x
  3. Step 3: Cross multiply
    138,374.47x = 190,956.77 × 77,945.11
  4. Step 4: Simplify right side
    138,374.47x = 14,884,146,740.03
  5. Step 5: Solve for x
    x = 14,884,146,740.03/138,374.47
  6. Step 6: Final answer
    x = 107,564.26

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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.