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Finding the Fourth Proportional to 178,456.40, 246,290.64 and 101,988

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Solution

The fourth proportional to 178,456.40, 246,290.64 and 101,988 is: 140,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456.40 : 246,290.64 = 101,988 : x
  2. Step 2: Convert to fraction form
    178,456.40/246,290.64 = 101,988/x
  3. Step 3: Cross multiply
    178,456.40x = 246,290.64 × 101,988
  4. Step 4: Simplify right side
    178,456.40x = 25,118,689,792.32
  5. Step 5: Solve for x
    x = 25,118,689,792.32/178,456.40
  6. Step 6: Final answer
    x = 140,755.33

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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.