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Finding the Fourth Proportional to 86,084, 129,130.88 and 30,680

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Solution

The fourth proportional to 86,084, 129,130.88 and 30,680 is: 46,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,084 : 129,130.88 = 30,680 : x
  2. Step 2: Convert to fraction form
    86,084/129,130.88 = 30,680/x
  3. Step 3: Cross multiply
    86,084x = 129,130.88 × 30,680
  4. Step 4: Simplify right side
    86,084x = 3,961,735,398.40
  5. Step 5: Solve for x
    x = 3,961,735,398.40/86,084
  6. Step 6: Final answer
    x = 46,021.74

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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.