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Finding the Fourth Proportional to 242,403, 363,643.89 and 71,642.04

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Solution

The fourth proportional to 242,403, 363,643.89 and 71,642.04 is: 107,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,403 : 363,643.89 = 71,642.04 : x
  2. Step 2: Convert to fraction form
    242,403/363,643.89 = 71,642.04/x
  3. Step 3: Cross multiply
    242,403x = 363,643.89 × 71,642.04
  4. Step 4: Simplify right side
    242,403x = 26,052,190,113.14
  5. Step 5: Solve for x
    x = 26,052,190,113.14/242,403
  6. Step 6: Final answer
    x = 107,474.70

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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.