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Finding the Fourth Proportional to 98,657.70, 147,986.55 and 65,415.30

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Solution

The fourth proportional to 98,657.70, 147,986.55 and 65,415.30 is: 98,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657.70 : 147,986.55 = 65,415.30 : x
  2. Step 2: Convert to fraction form
    98,657.70/147,986.55 = 65,415.30/x
  3. Step 3: Cross multiply
    98,657.70x = 147,986.55 × 65,415.30
  4. Step 4: Simplify right side
    98,657.70x = 9,680,584,564.22
  5. Step 5: Solve for x
    x = 9,680,584,564.22/98,657.70
  6. Step 6: Final answer
    x = 98,122.95

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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.