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Finding the Fourth Proportional to 242,470.78, 363,706.20 and 73,992

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Solution

The fourth proportional to 242,470.78, 363,706.20 and 73,992 is: 110,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,470.78 : 363,706.20 = 73,992 : x
  2. Step 2: Convert to fraction form
    242,470.78/363,706.20 = 73,992/x
  3. Step 3: Cross multiply
    242,470.78x = 363,706.20 × 73,992
  4. Step 4: Simplify right side
    242,470.78x = 26,911,349,150.40
  5. Step 5: Solve for x
    x = 26,911,349,150.40/242,470.78
  6. Step 6: Final answer
    x = 110,988.01

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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.