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Finding the Fourth Proportional to 65,897.76, 98,730 and 54,739.20

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Solution

The fourth proportional to 65,897.76, 98,730 and 54,739.20 is: 82,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.76 : 98,730 = 54,739.20 : x
  2. Step 2: Convert to fraction form
    65,897.76/98,730 = 54,739.20/x
  3. Step 3: Cross multiply
    65,897.76x = 98,730 × 54,739.20
  4. Step 4: Simplify right side
    65,897.76x = 5,404,401,216
  5. Step 5: Solve for x
    x = 5,404,401,216/65,897.76
  6. Step 6: Final answer
    x = 82,011.91

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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.