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Finding the Fourth Proportional to 98,678.40, 148,017.60 and 82,275.90

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Solution

The fourth proportional to 98,678.40, 148,017.60 and 82,275.90 is: 123,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678.40 : 148,017.60 = 82,275.90 : x
  2. Step 2: Convert to fraction form
    98,678.40/148,017.60 = 82,275.90/x
  3. Step 3: Cross multiply
    98,678.40x = 148,017.60 × 82,275.90
  4. Step 4: Simplify right side
    98,678.40x = 12,178,281,255.84
  5. Step 5: Solve for x
    x = 12,178,281,255.84/98,678.40
  6. Step 6: Final answer
    x = 123,413.85

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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.