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Finding the Fourth Proportional to 225,144.92, 310,526.88 and 157,140.20

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Solution

The fourth proportional to 225,144.92, 310,526.88 and 157,140.20 is: 216,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,144.92 : 310,526.88 = 157,140.20 : x
  2. Step 2: Convert to fraction form
    225,144.92/310,526.88 = 157,140.20/x
  3. Step 3: Cross multiply
    225,144.92x = 310,526.88 × 157,140.20
  4. Step 4: Simplify right side
    225,144.92x = 48,796,256,028.58
  5. Step 5: Solve for x
    x = 48,796,256,028.58/225,144.92
  6. Step 6: Final answer
    x = 216,732.65

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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.