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Finding the Fourth Proportional to 242,207.61, 363,075.75 and 115,815.06

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Solution

The fourth proportional to 242,207.61, 363,075.75 and 115,815.06 is: 173,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,207.61 : 363,075.75 = 115,815.06 : x
  2. Step 2: Convert to fraction form
    242,207.61/363,075.75 = 115,815.06/x
  3. Step 3: Cross multiply
    242,207.61x = 363,075.75 × 115,815.06
  4. Step 4: Simplify right side
    242,207.61x = 42,049,639,770.80
  5. Step 5: Solve for x
    x = 42,049,639,770.80/242,207.61
  6. Step 6: Final answer
    x = 173,609.90

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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.