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Finding the Fourth Proportional to 278,705.80, 417,930.90 and 89,129.26

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Solution

The fourth proportional to 278,705.80, 417,930.90 and 89,129.26 is: 133,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.80 : 417,930.90 = 89,129.26 : x
  2. Step 2: Convert to fraction form
    278,705.80/417,930.90 = 89,129.26/x
  3. Step 3: Cross multiply
    278,705.80x = 417,930.90 × 89,129.26
  4. Step 4: Simplify right side
    278,705.80x = 37,249,871,848.13
  5. Step 5: Solve for x
    x = 37,249,871,848.13/278,705.80
  6. Step 6: Final answer
    x = 133,653.02

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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.