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Finding the Fourth Proportional to 78,862.36, 118,159.88 and 47,632

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Solution

The fourth proportional to 78,862.36, 118,159.88 and 47,632 is: 71,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.36 : 118,159.88 = 47,632 : x
  2. Step 2: Convert to fraction form
    78,862.36/118,159.88 = 47,632/x
  3. Step 3: Cross multiply
    78,862.36x = 118,159.88 × 47,632
  4. Step 4: Simplify right side
    78,862.36x = 5,628,191,404.16
  5. Step 5: Solve for x
    x = 5,628,191,404.16/78,862.36
  6. Step 6: Final answer
    x = 71,367.27

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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.