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Finding the Fourth Proportional to 278,140.92, 417,251.16 and 86,030.16

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Solution

The fourth proportional to 278,140.92, 417,251.16 and 86,030.16 is: 129,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,140.92 : 417,251.16 = 86,030.16 : x
  2. Step 2: Convert to fraction form
    278,140.92/417,251.16 = 86,030.16/x
  3. Step 3: Cross multiply
    278,140.92x = 417,251.16 × 86,030.16
  4. Step 4: Simplify right side
    278,140.92x = 35,896,184,054.99
  5. Step 5: Solve for x
    x = 35,896,184,054.99/278,140.92
  6. Step 6: Final answer
    x = 129,057.54

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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.