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Finding the Fourth Proportional to 142,648.80, 196,853.04 and 78,986.40

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Solution

The fourth proportional to 142,648.80, 196,853.04 and 78,986.40 is: 108,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,648.80 : 196,853.04 = 78,986.40 : x
  2. Step 2: Convert to fraction form
    142,648.80/196,853.04 = 78,986.40/x
  3. Step 3: Cross multiply
    142,648.80x = 196,853.04 × 78,986.40
  4. Step 4: Simplify right side
    142,648.80x = 15,548,712,958.66
  5. Step 5: Solve for x
    x = 15,548,712,958.66/142,648.80
  6. Step 6: Final answer
    x = 108,999.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.