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Finding the Fourth Proportional to 142,242.80, 196,292.24 and 78,580

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Solution

The fourth proportional to 142,242.80, 196,292.24 and 78,580 is: 108,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,242.80 : 196,292.24 = 78,580 : x
  2. Step 2: Convert to fraction form
    142,242.80/196,292.24 = 78,580/x
  3. Step 3: Cross multiply
    142,242.80x = 196,292.24 × 78,580
  4. Step 4: Simplify right side
    142,242.80x = 15,424,644,219.20
  5. Step 5: Solve for x
    x = 15,424,644,219.20/142,242.80
  6. Step 6: Final answer
    x = 108,438.84

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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.