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Finding the Fourth Proportional to 145,711.85, 218,438.10 and 56,945.16

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Solution

The fourth proportional to 145,711.85, 218,438.10 and 56,945.16 is: 85,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,711.85 : 218,438.10 = 56,945.16 : x
  2. Step 2: Convert to fraction form
    145,711.85/218,438.10 = 56,945.16/x
  3. Step 3: Cross multiply
    145,711.85x = 218,438.10 × 56,945.16
  4. Step 4: Simplify right side
    145,711.85x = 12,438,992,554.60
  5. Step 5: Solve for x
    x = 12,438,992,554.60/145,711.85
  6. Step 6: Final answer
    x = 85,367.07

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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.