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Finding the Fourth Proportional to 86,705.54, 130,069.19 and 29,790.46

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Solution

The fourth proportional to 86,705.54, 130,069.19 and 29,790.46 is: 44,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,705.54 : 130,069.19 = 29,790.46 : x
  2. Step 2: Convert to fraction form
    86,705.54/130,069.19 = 29,790.46/x
  3. Step 3: Cross multiply
    86,705.54x = 130,069.19 × 29,790.46
  4. Step 4: Simplify right side
    86,705.54x = 3,874,821,001.93
  5. Step 5: Solve for x
    x = 3,874,821,001.93/86,705.54
  6. Step 6: Final answer
    x = 44,689.43

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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.