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Finding the Fourth Proportional to 138,141.76, 190,664.40 and 90,306.40

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Solution

The fourth proportional to 138,141.76, 190,664.40 and 90,306.40 is: 124,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.76 : 190,664.40 = 90,306.40 : x
  2. Step 2: Convert to fraction form
    138,141.76/190,664.40 = 90,306.40/x
  3. Step 3: Cross multiply
    138,141.76x = 190,664.40 × 90,306.40
  4. Step 4: Simplify right side
    138,141.76x = 17,218,215,572.16
  5. Step 5: Solve for x
    x = 17,218,215,572.16/138,141.76
  6. Step 6: Final answer
    x = 124,641.64

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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.