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Finding the Fourth Proportional to 157,008.16, 216,672.84 and 85,389.79

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Solution

The fourth proportional to 157,008.16, 216,672.84 and 85,389.79 is: 117,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,008.16 : 216,672.84 = 85,389.79 : x
  2. Step 2: Convert to fraction form
    157,008.16/216,672.84 = 85,389.79/x
  3. Step 3: Cross multiply
    157,008.16x = 216,672.84 × 85,389.79
  4. Step 4: Simplify right side
    157,008.16x = 18,501,648,306.30
  5. Step 5: Solve for x
    x = 18,501,648,306.30/157,008.16
  6. Step 6: Final answer
    x = 117,838.77

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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.