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Finding the Fourth Proportional to 86,037, 129,060.36 and 30,633

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Solution

The fourth proportional to 86,037, 129,060.36 and 30,633 is: 45,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,037 : 129,060.36 = 30,633 : x
  2. Step 2: Convert to fraction form
    86,037/129,060.36 = 30,633/x
  3. Step 3: Cross multiply
    86,037x = 129,060.36 × 30,633
  4. Step 4: Simplify right side
    86,037x = 3,953,506,007.88
  5. Step 5: Solve for x
    x = 3,953,506,007.88/86,037
  6. Step 6: Final answer
    x = 45,951.23

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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.