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Finding the Fourth Proportional to 120,275.75, 165,870.90 and 103,274.66

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Solution

The fourth proportional to 120,275.75, 165,870.90 and 103,274.66 is: 142,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,275.75 : 165,870.90 = 103,274.66 : x
  2. Step 2: Convert to fraction form
    120,275.75/165,870.90 = 103,274.66/x
  3. Step 3: Cross multiply
    120,275.75x = 165,870.90 × 103,274.66
  4. Step 4: Simplify right side
    120,275.75x = 17,130,260,801.39
  5. Step 5: Solve for x
    x = 17,130,260,801.39/120,275.75
  6. Step 6: Final answer
    x = 142,424.89

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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.