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Finding the Fourth Proportional to 142,008.70, 195,968.73 and 78,346.48

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Solution

The fourth proportional to 142,008.70, 195,968.73 and 78,346.48 is: 108,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,008.70 : 195,968.73 = 78,346.48 : x
  2. Step 2: Convert to fraction form
    142,008.70/195,968.73 = 78,346.48/x
  3. Step 3: Cross multiply
    142,008.70x = 195,968.73 × 78,346.48
  4. Step 4: Simplify right side
    142,008.70x = 15,353,460,185.57
  5. Step 5: Solve for x
    x = 15,353,460,185.57/142,008.70
  6. Step 6: Final answer
    x = 108,116.34

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1.5x scale

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.