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Finding the Fourth Proportional to 178,042.75, 245,699 and 98,554.75

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Solution

The fourth proportional to 178,042.75, 245,699 and 98,554.75 is: 136,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,042.75 : 245,699 = 98,554.75 : x
  2. Step 2: Convert to fraction form
    178,042.75/245,699 = 98,554.75/x
  3. Step 3: Cross multiply
    178,042.75x = 245,699 × 98,554.75
  4. Step 4: Simplify right side
    178,042.75x = 24,214,803,520.25
  5. Step 5: Solve for x
    x = 24,214,803,520.25/178,042.75
  6. Step 6: Final answer
    x = 136,005.56

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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.