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Finding the Fourth Proportional to 153,575.82, 211,951.85 and 85,599

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Solution

The fourth proportional to 153,575.82, 211,951.85 and 85,599 is: 118,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,575.82 : 211,951.85 = 85,599 : x
  2. Step 2: Convert to fraction form
    153,575.82/211,951.85 = 85,599/x
  3. Step 3: Cross multiply
    153,575.82x = 211,951.85 × 85,599
  4. Step 4: Simplify right side
    153,575.82x = 18,142,865,980.16
  5. Step 5: Solve for x
    x = 18,142,865,980.16/153,575.82
  6. Step 6: Final answer
    x = 118,136.21

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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.