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Finding the Fourth Proportional to 65,372.80, 98,108.64 and 47,888.16

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Solution

The fourth proportional to 65,372.80, 98,108.64 and 47,888.16 is: 71,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,372.80 : 98,108.64 = 47,888.16 : x
  2. Step 2: Convert to fraction form
    65,372.80/98,108.64 = 47,888.16/x
  3. Step 3: Cross multiply
    65,372.80x = 98,108.64 × 47,888.16
  4. Step 4: Simplify right side
    65,372.80x = 4,698,242,249.70
  5. Step 5: Solve for x
    x = 4,698,242,249.70/65,372.80
  6. Step 6: Final answer
    x = 71,868.46

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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.