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Finding the Fourth Proportional to 235,419.30, 353,128.95 and 77,609.70

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Solution

The fourth proportional to 235,419.30, 353,128.95 and 77,609.70 is: 116,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,419.30 : 353,128.95 = 77,609.70 : x
  2. Step 2: Convert to fraction form
    235,419.30/353,128.95 = 77,609.70/x
  3. Step 3: Cross multiply
    235,419.30x = 353,128.95 × 77,609.70
  4. Step 4: Simplify right side
    235,419.30x = 27,406,231,870.82
  5. Step 5: Solve for x
    x = 27,406,231,870.82/235,419.30
  6. Step 6: Final answer
    x = 116,414.55

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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.