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Finding the Fourth Proportional to 157,471.92, 217,311.93 and 100,916.10

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Solution

The fourth proportional to 157,471.92, 217,311.93 and 100,916.10 is: 139,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,471.92 : 217,311.93 = 100,916.10 : x
  2. Step 2: Convert to fraction form
    157,471.92/217,311.93 = 100,916.10/x
  3. Step 3: Cross multiply
    157,471.92x = 217,311.93 × 100,916.10
  4. Step 4: Simplify right side
    157,471.92x = 21,930,272,459.07
  5. Step 5: Solve for x
    x = 21,930,272,459.07/157,471.92
  6. Step 6: Final answer
    x = 139,264.65

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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.