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Finding the Fourth Proportional to 157,102.35, 216,805.85 and 85,486.98

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Solution

The fourth proportional to 157,102.35, 216,805.85 and 85,486.98 is: 117,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102.35 : 216,805.85 = 85,486.98 : x
  2. Step 2: Convert to fraction form
    157,102.35/216,805.85 = 85,486.98/x
  3. Step 3: Cross multiply
    157,102.35x = 216,805.85 × 85,486.98
  4. Step 4: Simplify right side
    157,102.35x = 18,534,078,124.76
  5. Step 5: Solve for x
    x = 18,534,078,124.76/157,102.35
  6. Step 6: Final answer
    x = 117,974.55

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1.5x scale

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.