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Finding the Fourth Proportional to 77,658.30, 107,204.54 and 58,545.86

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Solution

The fourth proportional to 77,658.30, 107,204.54 and 58,545.86 is: 80,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.30 : 107,204.54 = 58,545.86 : x
  2. Step 2: Convert to fraction form
    77,658.30/107,204.54 = 58,545.86/x
  3. Step 3: Cross multiply
    77,658.30x = 107,204.54 × 58,545.86
  4. Step 4: Simplify right side
    77,658.30x = 6,276,381,161.45
  5. Step 5: Solve for x
    x = 6,276,381,161.45/77,658.30
  6. Step 6: Final answer
    x = 80,820.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.