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Finding the Fourth Proportional to 153,773.50, 212,207.52 and 85,790.48

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Solution

The fourth proportional to 153,773.50, 212,207.52 and 85,790.48 is: 118,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,773.50 : 212,207.52 = 85,790.48 : x
  2. Step 2: Convert to fraction form
    153,773.50/212,207.52 = 85,790.48/x
  3. Step 3: Cross multiply
    153,773.50x = 212,207.52 × 85,790.48
  4. Step 4: Simplify right side
    153,773.50x = 18,205,385,000.41
  5. Step 5: Solve for x
    x = 18,205,385,000.41/153,773.50
  6. Step 6: Final answer
    x = 118,390.91

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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.