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Finding the Fourth Proportional to 107,686.40, 161,702.40 and 72,780.80

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Solution

The fourth proportional to 107,686.40, 161,702.40 and 72,780.80 is: 109,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,686.40 : 161,702.40 = 72,780.80 : x
  2. Step 2: Convert to fraction form
    107,686.40/161,702.40 = 72,780.80/x
  3. Step 3: Cross multiply
    107,686.40x = 161,702.40 × 72,780.80
  4. Step 4: Simplify right side
    107,686.40x = 11,768,830,033.92
  5. Step 5: Solve for x
    x = 11,768,830,033.92/107,686.40
  6. Step 6: Final answer
    x = 109,287.99

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1.5x scale

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.