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Finding the Fourth Proportional to 281,011.95, 421,412.13 and 91,422.72

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Solution

The fourth proportional to 281,011.95, 421,412.13 and 91,422.72 is: 137,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,011.95 : 421,412.13 = 91,422.72 : x
  2. Step 2: Convert to fraction form
    281,011.95/421,412.13 = 91,422.72/x
  3. Step 3: Cross multiply
    281,011.95x = 421,412.13 × 91,422.72
  4. Step 4: Simplify right side
    281,011.95x = 38,526,643,165.59
  5. Step 5: Solve for x
    x = 38,526,643,165.59/281,011.95
  6. Step 6: Final answer
    x = 137,099.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.