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Finding the Fourth Proportional to 120,122.67, 165,746.48 and 75,390.51

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Solution

The fourth proportional to 120,122.67, 165,746.48 and 75,390.51 is: 104,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,122.67 : 165,746.48 = 75,390.51 : x
  2. Step 2: Convert to fraction form
    120,122.67/165,746.48 = 75,390.51/x
  3. Step 3: Cross multiply
    120,122.67x = 165,746.48 × 75,390.51
  4. Step 4: Simplify right side
    120,122.67x = 12,495,711,280.95
  5. Step 5: Solve for x
    x = 12,495,711,280.95/120,122.67
  6. Step 6: Final answer
    x = 104,024.59

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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.