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Finding the Fourth Proportional to 157,143, 216,857.34 and 90,113.88

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Solution

The fourth proportional to 157,143, 216,857.34 and 90,113.88 is: 124,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,143 : 216,857.34 = 90,113.88 : x
  2. Step 2: Convert to fraction form
    157,143/216,857.34 = 90,113.88/x
  3. Step 3: Cross multiply
    157,143x = 216,857.34 × 90,113.88
  4. Step 4: Simplify right side
    157,143x = 19,541,856,313.88
  5. Step 5: Solve for x
    x = 19,541,856,313.88/157,143
  6. Step 6: Final answer
    x = 124,357.15

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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.