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Finding the Fourth Proportional to 86,389.40, 129,438.30 and 41,920.40

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Solution

The fourth proportional to 86,389.40, 129,438.30 and 41,920.40 is: 62,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,389.40 : 129,438.30 = 41,920.40 : x
  2. Step 2: Convert to fraction form
    86,389.40/129,438.30 = 41,920.40/x
  3. Step 3: Cross multiply
    86,389.40x = 129,438.30 × 41,920.40
  4. Step 4: Simplify right side
    86,389.40x = 5,426,105,311.32
  5. Step 5: Solve for x
    x = 5,426,105,311.32/86,389.40
  6. Step 6: Final answer
    x = 62,809.85

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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.