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Finding the Fourth Proportional to 98,159.64, 135,467 and 54,557.40

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Solution

The fourth proportional to 98,159.64, 135,467 and 54,557.40 is: 75,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,159.64 : 135,467 = 54,557.40 : x
  2. Step 2: Convert to fraction form
    98,159.64/135,467 = 54,557.40/x
  3. Step 3: Cross multiply
    98,159.64x = 135,467 × 54,557.40
  4. Step 4: Simplify right side
    98,159.64x = 7,390,727,305.80
  5. Step 5: Solve for x
    x = 7,390,727,305.80/98,159.64
  6. Step 6: Final answer
    x = 75,292.93

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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.