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Finding the Fourth Proportional to 86,706.54, 130,070.69 and 29,791.46

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Solution

The fourth proportional to 86,706.54, 130,070.69 and 29,791.46 is: 44,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.54 : 130,070.69 = 29,791.46 : x
  2. Step 2: Convert to fraction form
    86,706.54/130,070.69 = 29,791.46/x
  3. Step 3: Cross multiply
    86,706.54x = 130,070.69 × 29,791.46
  4. Step 4: Simplify right side
    86,706.54x = 3,874,995,758.31
  5. Step 5: Solve for x
    x = 3,874,995,758.31/86,706.54
  6. Step 6: Final answer
    x = 44,690.93

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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.