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Finding the Fourth Proportional to 77,114.34, 115,351.65 and 72,390.42

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Solution

The fourth proportional to 77,114.34, 115,351.65 and 72,390.42 is: 108,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.34 : 115,351.65 = 72,390.42 : x
  2. Step 2: Convert to fraction form
    77,114.34/115,351.65 = 72,390.42/x
  3. Step 3: Cross multiply
    77,114.34x = 115,351.65 × 72,390.42
  4. Step 4: Simplify right side
    77,114.34x = 8,350,354,391.19
  5. Step 5: Solve for x
    x = 8,350,354,391.19/77,114.34
  6. Step 6: Final answer
    x = 108,285.36

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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.