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Finding the Fourth Proportional to 102,957.60, 154,306.80 and 91,293.60

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Solution

The fourth proportional to 102,957.60, 154,306.80 and 91,293.60 is: 136,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,957.60 : 154,306.80 = 91,293.60 : x
  2. Step 2: Convert to fraction form
    102,957.60/154,306.80 = 91,293.60/x
  3. Step 3: Cross multiply
    102,957.60x = 154,306.80 × 91,293.60
  4. Step 4: Simplify right side
    102,957.60x = 14,087,223,276.48
  5. Step 5: Solve for x
    x = 14,087,223,276.48/102,957.60
  6. Step 6: Final answer
    x = 136,825.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.