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Finding the Fourth Proportional to 107,678.40, 161,690.40 and 72,772.80

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Solution

The fourth proportional to 107,678.40, 161,690.40 and 72,772.80 is: 109,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,678.40 : 161,690.40 = 72,772.80 : x
  2. Step 2: Convert to fraction form
    107,678.40/161,690.40 = 72,772.80/x
  3. Step 3: Cross multiply
    107,678.40x = 161,690.40 × 72,772.80
  4. Step 4: Simplify right side
    107,678.40x = 11,766,663,141.12
  5. Step 5: Solve for x
    x = 11,766,663,141.12/107,678.40
  6. Step 6: Final answer
    x = 109,275.98

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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.