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Finding the Fourth Proportional to 65,347.20, 97,761.60 and 56,678.40

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Solution

The fourth proportional to 65,347.20, 97,761.60 and 56,678.40 is: 84,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.20 : 97,761.60 = 56,678.40 : x
  2. Step 2: Convert to fraction form
    65,347.20/97,761.60 = 56,678.40/x
  3. Step 3: Cross multiply
    65,347.20x = 97,761.60 × 56,678.40
  4. Step 4: Simplify right side
    65,347.20x = 5,540,971,069.44
  5. Step 5: Solve for x
    x = 5,540,971,069.44/65,347.20
  6. Step 6: Final answer
    x = 84,792.78

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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.