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Finding the Fourth Proportional to 142,169.22, 196,192.80 and 78,507

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Solution

The fourth proportional to 142,169.22, 196,192.80 and 78,507 is: 108,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,169.22 : 196,192.80 = 78,507 : x
  2. Step 2: Convert to fraction form
    142,169.22/196,192.80 = 78,507/x
  3. Step 3: Cross multiply
    142,169.22x = 196,192.80 × 78,507
  4. Step 4: Simplify right side
    142,169.22x = 15,402,508,149.60
  5. Step 5: Solve for x
    x = 15,402,508,149.60/142,169.22
  6. Step 6: Final answer
    x = 108,339.26

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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.