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Finding the Fourth Proportional to 120,158.16, 165,792.60 and 69,830.16

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Solution

The fourth proportional to 120,158.16, 165,792.60 and 69,830.16 is: 96,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.16 : 165,792.60 = 69,830.16 : x
  2. Step 2: Convert to fraction form
    120,158.16/165,792.60 = 69,830.16/x
  3. Step 3: Cross multiply
    120,158.16x = 165,792.60 × 69,830.16
  4. Step 4: Simplify right side
    120,158.16x = 11,577,323,784.82
  5. Step 5: Solve for x
    x = 11,577,323,784.82/120,158.16
  6. Step 6: Final answer
    x = 96,350.71

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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.