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Finding the Fourth Proportional to 157,478.36, 217,311.90 and 89,486.24

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Solution

The fourth proportional to 157,478.36, 217,311.90 and 89,486.24 is: 123,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,478.36 : 217,311.90 = 89,486.24 : x
  2. Step 2: Convert to fraction form
    157,478.36/217,311.90 = 89,486.24/x
  3. Step 3: Cross multiply
    157,478.36x = 217,311.90 × 89,486.24
  4. Step 4: Simplify right side
    157,478.36x = 19,446,424,838.26
  5. Step 5: Solve for x
    x = 19,446,424,838.26/157,478.36
  6. Step 6: Final answer
    x = 123,486.33

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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.