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Finding the Fourth Proportional to 103,253.76, 142,387.20 and 65,548.80

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Solution

The fourth proportional to 103,253.76, 142,387.20 and 65,548.80 is: 90,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,253.76 : 142,387.20 = 65,548.80 : x
  2. Step 2: Convert to fraction form
    103,253.76/142,387.20 = 65,548.80/x
  3. Step 3: Cross multiply
    103,253.76x = 142,387.20 × 65,548.80
  4. Step 4: Simplify right side
    103,253.76x = 9,333,310,095.36
  5. Step 5: Solve for x
    x = 9,333,310,095.36/103,253.76
  6. Step 6: Final answer
    x = 90,391.96

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1.5x scale

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.