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Finding the Fourth Proportional to 120,032.96, 165,642.72 and 66,315.20

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Solution

The fourth proportional to 120,032.96, 165,642.72 and 66,315.20 is: 91,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,032.96 : 165,642.72 = 66,315.20 : x
  2. Step 2: Convert to fraction form
    120,032.96/165,642.72 = 66,315.20/x
  3. Step 3: Cross multiply
    120,032.96x = 165,642.72 × 66,315.20
  4. Step 4: Simplify right side
    120,032.96x = 10,984,630,105.34
  5. Step 5: Solve for x
    x = 10,984,630,105.34/120,032.96
  6. Step 6: Final answer
    x = 91,513.45

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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.