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Finding the Fourth Proportional to 65,280, 90,086.40 and 38,784

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Solution

The fourth proportional to 65,280, 90,086.40 and 38,784 is: 53,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280 : 90,086.40 = 38,784 : x
  2. Step 2: Convert to fraction form
    65,280/90,086.40 = 38,784/x
  3. Step 3: Cross multiply
    65,280x = 90,086.40 × 38,784
  4. Step 4: Simplify right side
    65,280x = 3,493,910,937.60
  5. Step 5: Solve for x
    x = 3,493,910,937.60/65,280
  6. Step 6: Final answer
    x = 53,521.92

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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.