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Finding the Fourth Proportional to 120,113.58, 165,758.76 and 69,812.58

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Solution

The fourth proportional to 120,113.58, 165,758.76 and 69,812.58 is: 96,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,113.58 : 165,758.76 = 69,812.58 : x
  2. Step 2: Convert to fraction form
    120,113.58/165,758.76 = 69,812.58/x
  3. Step 3: Cross multiply
    120,113.58x = 165,758.76 × 69,812.58
  4. Step 4: Simplify right side
    120,113.58x = 11,572,046,693.20
  5. Step 5: Solve for x
    x = 11,572,046,693.20/120,113.58
  6. Step 6: Final answer
    x = 96,342.53

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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.