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Finding the Fourth Proportional to 77,608.20, 116,412.30 and 71,703.30

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Solution

The fourth proportional to 77,608.20, 116,412.30 and 71,703.30 is: 107,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.20 : 116,412.30 = 71,703.30 : x
  2. Step 2: Convert to fraction form
    77,608.20/116,412.30 = 71,703.30/x
  3. Step 3: Cross multiply
    77,608.20x = 116,412.30 × 71,703.30
  4. Step 4: Simplify right side
    77,608.20x = 8,347,146,070.59
  5. Step 5: Solve for x
    x = 8,347,146,070.59/77,608.20
  6. Step 6: Final answer
    x = 107,554.95

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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.