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Finding the Fourth Proportional to 252,397.78, 348,315.48 and 137,678.34

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Solution

The fourth proportional to 252,397.78, 348,315.48 and 137,678.34 is: 189,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,397.78 : 348,315.48 = 137,678.34 : x
  2. Step 2: Convert to fraction form
    252,397.78/348,315.48 = 137,678.34/x
  3. Step 3: Cross multiply
    252,397.78x = 348,315.48 × 137,678.34
  4. Step 4: Simplify right side
    252,397.78x = 47,955,497,082.70
  5. Step 5: Solve for x
    x = 47,955,497,082.70/252,397.78
  6. Step 6: Final answer
    x = 189,999.68

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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.