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Finding the Fourth Proportional to 157,758.13, 217,715.04 and 86,144.80

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Solution

The fourth proportional to 157,758.13, 217,715.04 and 86,144.80 is: 118,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,758.13 : 217,715.04 = 86,144.80 : x
  2. Step 2: Convert to fraction form
    157,758.13/217,715.04 = 86,144.80/x
  3. Step 3: Cross multiply
    157,758.13x = 217,715.04 × 86,144.80
  4. Step 4: Simplify right side
    157,758.13x = 18,755,018,577.79
  5. Step 5: Solve for x
    x = 18,755,018,577.79/157,758.13
  6. Step 6: Final answer
    x = 118,884.64

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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.