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Finding the Fourth Proportional to 278,154.98, 417,123.27 and 98,202

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Solution

The fourth proportional to 278,154.98, 417,123.27 and 98,202 is: 147,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154.98 : 417,123.27 = 98,202 : x
  2. Step 2: Convert to fraction form
    278,154.98/417,123.27 = 98,202/x
  3. Step 3: Cross multiply
    278,154.98x = 417,123.27 × 98,202
  4. Step 4: Simplify right side
    278,154.98x = 40,962,339,360.54
  5. Step 5: Solve for x
    x = 40,962,339,360.54/278,154.98
  6. Step 6: Final answer
    x = 147,264.45

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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.