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Finding the Fourth Proportional to 98,961.92, 148,468.80 and 49,040

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Solution

The fourth proportional to 98,961.92, 148,468.80 and 49,040 is: 73,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,961.92 : 148,468.80 = 49,040 : x
  2. Step 2: Convert to fraction form
    98,961.92/148,468.80 = 49,040/x
  3. Step 3: Cross multiply
    98,961.92x = 148,468.80 × 49,040
  4. Step 4: Simplify right side
    98,961.92x = 7,280,909,952.00
  5. Step 5: Solve for x
    x = 7,280,909,952.00/98,961.92
  6. Step 6: Final answer
    x = 73,572.84

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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.