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Finding the Fourth Proportional to 139,764.30, 209,646.45 and 51,020.70

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Solution

The fourth proportional to 139,764.30, 209,646.45 and 51,020.70 is: 76,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,764.30 : 209,646.45 = 51,020.70 : x
  2. Step 2: Convert to fraction form
    139,764.30/209,646.45 = 51,020.70/x
  3. Step 3: Cross multiply
    139,764.30x = 209,646.45 × 51,020.70
  4. Step 4: Simplify right side
    139,764.30x = 10,696,308,631.52
  5. Step 5: Solve for x
    x = 10,696,308,631.52/139,764.30
  6. Step 6: Final answer
    x = 76,531.05

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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.