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Finding the Fourth Proportional to 142,014.60, 195,971.04 and 78,352.38

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Solution

The fourth proportional to 142,014.60, 195,971.04 and 78,352.38 is: 108,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,014.60 : 195,971.04 = 78,352.38 : x
  2. Step 2: Convert to fraction form
    142,014.60/195,971.04 = 78,352.38/x
  3. Step 3: Cross multiply
    142,014.60x = 195,971.04 × 78,352.38
  4. Step 4: Simplify right side
    142,014.60x = 15,354,797,395.08
  5. Step 5: Solve for x
    x = 15,354,797,395.08/142,014.60
  6. Step 6: Final answer
    x = 108,121.26

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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.