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Finding the Fourth Proportional to 78,867.48, 118,300.56 and 19,702.80

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Solution

The fourth proportional to 78,867.48, 118,300.56 and 19,702.80 is: 29,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867.48 : 118,300.56 = 19,702.80 : x
  2. Step 2: Convert to fraction form
    78,867.48/118,300.56 = 19,702.80/x
  3. Step 3: Cross multiply
    78,867.48x = 118,300.56 × 19,702.80
  4. Step 4: Simplify right side
    78,867.48x = 2,330,852,273.57
  5. Step 5: Solve for x
    x = 2,330,852,273.57/78,867.48
  6. Step 6: Final answer
    x = 29,554.04

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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.