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Finding the Fourth Proportional to 157,105.70, 216,808.45 and 85,486.08

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Solution

The fourth proportional to 157,105.70, 216,808.45 and 85,486.08 is: 117,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,105.70 : 216,808.45 = 85,486.08 : x
  2. Step 2: Convert to fraction form
    157,105.70/216,808.45 = 85,486.08/x
  3. Step 3: Cross multiply
    157,105.70x = 216,808.45 × 85,486.08
  4. Step 4: Simplify right side
    157,105.70x = 18,534,104,501.38
  5. Step 5: Solve for x
    x = 18,534,104,501.38/157,105.70
  6. Step 6: Final answer
    x = 117,972.20

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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.