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Finding the Fourth Proportional to 86,863.86, 130,312.29 and 29,922.66

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Solution

The fourth proportional to 86,863.86, 130,312.29 and 29,922.66 is: 44,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,863.86 : 130,312.29 = 29,922.66 : x
  2. Step 2: Convert to fraction form
    86,863.86/130,312.29 = 29,922.66/x
  3. Step 3: Cross multiply
    86,863.86x = 130,312.29 × 29,922.66
  4. Step 4: Simplify right side
    86,863.86x = 3,899,290,347.49
  5. Step 5: Solve for x
    x = 3,899,290,347.49/86,863.86
  6. Step 6: Final answer
    x = 44,889.67

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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.