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Finding the Fourth Proportional to 77,104.80, 115,730.10 and 47,580.30

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Solution

The fourth proportional to 77,104.80, 115,730.10 and 47,580.30 is: 71,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.80 : 115,730.10 = 47,580.30 : x
  2. Step 2: Convert to fraction form
    77,104.80/115,730.10 = 47,580.30/x
  3. Step 3: Cross multiply
    77,104.80x = 115,730.10 × 47,580.30
  4. Step 4: Simplify right side
    77,104.80x = 5,506,472,877.03
  5. Step 5: Solve for x
    x = 5,506,472,877.03/77,104.80
  6. Step 6: Final answer
    x = 71,415.44

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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.