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Finding the Fourth Proportional to 86,681.75, 130,060.21 and 30,561.96

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Solution

The fourth proportional to 86,681.75, 130,060.21 and 30,561.96 is: 45,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,681.75 : 130,060.21 = 30,561.96 : x
  2. Step 2: Convert to fraction form
    86,681.75/130,060.21 = 30,561.96/x
  3. Step 3: Cross multiply
    86,681.75x = 130,060.21 × 30,561.96
  4. Step 4: Simplify right side
    86,681.75x = 3,974,894,586.69
  5. Step 5: Solve for x
    x = 3,974,894,586.69/86,681.75
  6. Step 6: Final answer
    x = 45,856.19

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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.