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Finding the Fourth Proportional to 107,492.87, 148,355.15 and 77,377.88

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Solution

The fourth proportional to 107,492.87, 148,355.15 and 77,377.88 is: 106,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,492.87 : 148,355.15 = 77,377.88 : x
  2. Step 2: Convert to fraction form
    107,492.87/148,355.15 = 77,377.88/x
  3. Step 3: Cross multiply
    107,492.87x = 148,355.15 × 77,377.88
  4. Step 4: Simplify right side
    107,492.87x = 11,479,406,978.08
  5. Step 5: Solve for x
    x = 11,479,406,978.08/107,492.87
  6. Step 6: Final answer
    x = 106,792.26

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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.