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Finding the Fourth Proportional to 98,746.32, 148,119.48 and 43,342.80

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Solution

The fourth proportional to 98,746.32, 148,119.48 and 43,342.80 is: 65,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,746.32 : 148,119.48 = 43,342.80 : x
  2. Step 2: Convert to fraction form
    98,746.32/148,119.48 = 43,342.80/x
  3. Step 3: Cross multiply
    98,746.32x = 148,119.48 × 43,342.80
  4. Step 4: Simplify right side
    98,746.32x = 6,419,912,997.74
  5. Step 5: Solve for x
    x = 6,419,912,997.74/98,746.32
  6. Step 6: Final answer
    x = 65,014.20

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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.