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Finding the Fourth Proportional to 157,149.84, 216,872.10 and 85,532.46

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Solution

The fourth proportional to 157,149.84, 216,872.10 and 85,532.46 is: 118,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,149.84 : 216,872.10 = 85,532.46 : x
  2. Step 2: Convert to fraction form
    157,149.84/216,872.10 = 85,532.46/x
  3. Step 3: Cross multiply
    157,149.84x = 216,872.10 × 85,532.46
  4. Step 4: Simplify right side
    157,149.84x = 18,549,604,218.37
  5. Step 5: Solve for x
    x = 18,549,604,218.37/157,149.84
  6. Step 6: Final answer
    x = 118,037.69

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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.