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Finding the Fourth Proportional to 138,248.52, 190,744.74 and 77,815.64

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Solution

The fourth proportional to 138,248.52, 190,744.74 and 77,815.64 is: 107,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,248.52 : 190,744.74 = 77,815.64 : x
  2. Step 2: Convert to fraction form
    138,248.52/190,744.74 = 77,815.64/x
  3. Step 3: Cross multiply
    138,248.52x = 190,744.74 × 77,815.64
  4. Step 4: Simplify right side
    138,248.52x = 14,842,923,066.01
  5. Step 5: Solve for x
    x = 14,842,923,066.01/138,248.52
  6. Step 6: Final answer
    x = 107,364.06

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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.