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Finding the Fourth Proportional to 120,152.68, 165,822.80 and 66,441.76

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Solution

The fourth proportional to 120,152.68, 165,822.80 and 66,441.76 is: 91,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152.68 : 165,822.80 = 66,441.76 : x
  2. Step 2: Convert to fraction form
    120,152.68/165,822.80 = 66,441.76/x
  3. Step 3: Cross multiply
    120,152.68x = 165,822.80 × 66,441.76
  4. Step 4: Simplify right side
    120,152.68x = 11,017,558,680.13
  5. Step 5: Solve for x
    x = 11,017,558,680.13/120,152.68
  6. Step 6: Final answer
    x = 91,696.32

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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.