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Finding the Fourth Proportional to 139,765.70, 209,329.18 and 109,711.53

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Solution

The fourth proportional to 139,765.70, 209,329.18 and 109,711.53 is: 164,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,765.70 : 209,329.18 = 109,711.53 : x
  2. Step 2: Convert to fraction form
    139,765.70/209,329.18 = 109,711.53/x
  3. Step 3: Cross multiply
    139,765.70x = 209,329.18 × 109,711.53
  4. Step 4: Simplify right side
    139,765.70x = 22,965,824,337.17
  5. Step 5: Solve for x
    x = 22,965,824,337.17/139,765.70
  6. Step 6: Final answer
    x = 164,316.60

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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.