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Finding the Fourth Proportional to 120,969.10, 169,531.70 and 120,969.10

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Solution

The fourth proportional to 120,969.10, 169,531.70 and 120,969.10 is: 169,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,969.10 : 169,531.70 = 120,969.10 : x
  2. Step 2: Convert to fraction form
    120,969.10/169,531.70 = 120,969.10/x
  3. Step 3: Cross multiply
    120,969.10x = 169,531.70 × 120,969.10
  4. Step 4: Simplify right side
    120,969.10x = 20,508,097,170.47
  5. Step 5: Solve for x
    x = 20,508,097,170.47/120,969.10
  6. Step 6: Final answer
    x = 169,531.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.