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Finding the Fourth Proportional to 119,864.16, 179,806.32 and 40,983.84

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Solution

The fourth proportional to 119,864.16, 179,806.32 and 40,983.84 is: 61,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,864.16 : 179,806.32 = 40,983.84 : x
  2. Step 2: Convert to fraction form
    119,864.16/179,806.32 = 40,983.84/x
  3. Step 3: Cross multiply
    119,864.16x = 179,806.32 × 40,983.84
  4. Step 4: Simplify right side
    119,864.16x = 7,369,153,449.87
  5. Step 5: Solve for x
    x = 7,369,153,449.87/119,864.16
  6. Step 6: Final answer
    x = 61,479.21

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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.