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Finding the Fourth Proportional to 145,000.40, 217,565.40 and 51,573.20

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Solution

The fourth proportional to 145,000.40, 217,565.40 and 51,573.20 is: 77,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,000.40 : 217,565.40 = 51,573.20 : x
  2. Step 2: Convert to fraction form
    145,000.40/217,565.40 = 51,573.20/x
  3. Step 3: Cross multiply
    145,000.40x = 217,565.40 × 51,573.20
  4. Step 4: Simplify right side
    145,000.40x = 11,220,543,887.28
  5. Step 5: Solve for x
    x = 11,220,543,887.28/145,000.40
  6. Step 6: Final answer
    x = 77,382.85

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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.