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Finding the Fourth Proportional to 157,240.86, 216,938.43 and 89,252.70

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Solution

The fourth proportional to 157,240.86, 216,938.43 and 89,252.70 is: 123,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,240.86 : 216,938.43 = 89,252.70 : x
  2. Step 2: Convert to fraction form
    157,240.86/216,938.43 = 89,252.70/x
  3. Step 3: Cross multiply
    157,240.86x = 216,938.43 × 89,252.70
  4. Step 4: Simplify right side
    157,240.86x = 19,362,340,611.26
  5. Step 5: Solve for x
    x = 19,362,340,611.26/157,240.86
  6. Step 6: Final answer
    x = 123,138.10

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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.