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Finding the Fourth Proportional to 285,801.48, 428,702.00 and 86,121.87

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Solution

The fourth proportional to 285,801.48, 428,702.00 and 86,121.87 is: 129,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,801.48 : 428,702.00 = 86,121.87 : x
  2. Step 2: Convert to fraction form
    285,801.48/428,702.00 = 86,121.87/x
  3. Step 3: Cross multiply
    285,801.48x = 428,702.00 × 86,121.87
  4. Step 4: Simplify right side
    285,801.48x = 36,920,617,697.44
  5. Step 5: Solve for x
    x = 36,920,617,697.44/285,801.48
  6. Step 6: Final answer
    x = 129,182.74

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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.