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Finding the Fourth Proportional to 154,698, 232,047.20 and 42,379.20

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Solution

The fourth proportional to 154,698, 232,047.20 and 42,379.20 is: 63,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,698 : 232,047.20 = 42,379.20 : x
  2. Step 2: Convert to fraction form
    154,698/232,047.20 = 42,379.20/x
  3. Step 3: Cross multiply
    154,698x = 232,047.20 × 42,379.20
  4. Step 4: Simplify right side
    154,698x = 9,833,974,698.24
  5. Step 5: Solve for x
    x = 9,833,974,698.24/154,698
  6. Step 6: Final answer
    x = 63,568.85

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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.