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Finding the Fourth Proportional to 178,830, 246,791.88 and 102,363.12

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Solution

The fourth proportional to 178,830, 246,791.88 and 102,363.12 is: 141,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,830 : 246,791.88 = 102,363.12 : x
  2. Step 2: Convert to fraction form
    178,830/246,791.88 = 102,363.12/x
  3. Step 3: Cross multiply
    178,830x = 246,791.88 × 102,363.12
  4. Step 4: Simplify right side
    178,830x = 25,262,386,827.47
  5. Step 5: Solve for x
    x = 25,262,386,827.47/178,830
  6. Step 6: Final answer
    x = 141,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.