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Finding the Fourth Proportional to 86,574.42, 129,934.53 and 34,020.81

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Solution

The fourth proportional to 86,574.42, 129,934.53 and 34,020.81 is: 51,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574.42 : 129,934.53 = 34,020.81 : x
  2. Step 2: Convert to fraction form
    86,574.42/129,934.53 = 34,020.81/x
  3. Step 3: Cross multiply
    86,574.42x = 129,934.53 × 34,020.81
  4. Step 4: Simplify right side
    86,574.42x = 4,420,477,957.57
  5. Step 5: Solve for x
    x = 4,420,477,957.57/86,574.42
  6. Step 6: Final answer
    x = 51,059.86

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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.