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Finding the Fourth Proportional to 65,878.47, 98,762.31 and 53,367.48

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Solution

The fourth proportional to 65,878.47, 98,762.31 and 53,367.48 is: 80,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.47 : 98,762.31 = 53,367.48 : x
  2. Step 2: Convert to fraction form
    65,878.47/98,762.31 = 53,367.48/x
  3. Step 3: Cross multiply
    65,878.47x = 98,762.31 × 53,367.48
  4. Step 4: Simplify right side
    65,878.47x = 5,270,695,603.68
  5. Step 5: Solve for x
    x = 5,270,695,603.68/65,878.47
  6. Step 6: Final answer
    x = 80,006.35

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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.