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Finding the Fourth Proportional to 145,882.86, 218,847.66 and 61,643.85

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Solution

The fourth proportional to 145,882.86, 218,847.66 and 61,643.85 is: 92,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882.86 : 218,847.66 = 61,643.85 : x
  2. Step 2: Convert to fraction form
    145,882.86/218,847.66 = 61,643.85/x
  3. Step 3: Cross multiply
    145,882.86x = 218,847.66 × 61,643.85
  4. Step 4: Simplify right side
    145,882.86x = 13,490,612,325.89
  5. Step 5: Solve for x
    x = 13,490,612,325.89/145,882.86
  6. Step 6: Final answer
    x = 92,475.65

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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.