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Finding the Fourth Proportional to 157,215.25, 216,960.89 and 85,599.17

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Solution

The fourth proportional to 157,215.25, 216,960.89 and 85,599.17 is: 118,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215.25 : 216,960.89 = 85,599.17 : x
  2. Step 2: Convert to fraction form
    157,215.25/216,960.89 = 85,599.17/x
  3. Step 3: Cross multiply
    157,215.25x = 216,960.89 × 85,599.17
  4. Step 4: Simplify right side
    157,215.25x = 18,571,672,106.46
  5. Step 5: Solve for x
    x = 18,571,672,106.46/157,215.25
  6. Step 6: Final answer
    x = 118,128.95

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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.