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Finding the Fourth Proportional to 278,038.10, 417,074.80 and 98,101.10

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Solution

The fourth proportional to 278,038.10, 417,074.80 and 98,101.10 is: 147,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,038.10 : 417,074.80 = 98,101.10 : x
  2. Step 2: Convert to fraction form
    278,038.10/417,074.80 = 98,101.10/x
  3. Step 3: Cross multiply
    278,038.10x = 417,074.80 × 98,101.10
  4. Step 4: Simplify right side
    278,038.10x = 40,915,496,662.28
  5. Step 5: Solve for x
    x = 40,915,496,662.28/278,038.10
  6. Step 6: Final answer
    x = 147,157.88

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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.