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Finding the Fourth Proportional to 157,962.96, 217,964.52 and 90,882

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Solution

The fourth proportional to 157,962.96, 217,964.52 and 90,882 is: 125,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,962.96 : 217,964.52 = 90,882 : x
  2. Step 2: Convert to fraction form
    157,962.96/217,964.52 = 90,882/x
  3. Step 3: Cross multiply
    157,962.96x = 217,964.52 × 90,882
  4. Step 4: Simplify right side
    157,962.96x = 19,809,051,506.64
  5. Step 5: Solve for x
    x = 19,809,051,506.64/157,962.96
  6. Step 6: Final answer
    x = 125,403.14

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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.