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Finding the Fourth Proportional to 281,034.34, 387,834 and 160,186.92

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Solution

The fourth proportional to 281,034.34, 387,834 and 160,186.92 is: 221,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,034.34 : 387,834 = 160,186.92 : x
  2. Step 2: Convert to fraction form
    281,034.34/387,834 = 160,186.92/x
  3. Step 3: Cross multiply
    281,034.34x = 387,834 × 160,186.92
  4. Step 4: Simplify right side
    281,034.34x = 62,125,933,931.28
  5. Step 5: Solve for x
    x = 62,125,933,931.28/281,034.34
  6. Step 6: Final answer
    x = 221,061.72

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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.