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Finding the Fourth Proportional to 85,695.42, 128,464.41 and 29,522.17

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Solution

The fourth proportional to 85,695.42, 128,464.41 and 29,522.17 is: 44,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695.42 : 128,464.41 = 29,522.17 : x
  2. Step 2: Convert to fraction form
    85,695.42/128,464.41 = 29,522.17/x
  3. Step 3: Cross multiply
    85,695.42x = 128,464.41 × 29,522.17
  4. Step 4: Simplify right side
    85,695.42x = 3,792,548,150.97
  5. Step 5: Solve for x
    x = 3,792,548,150.97/85,695.42
  6. Step 6: Final answer
    x = 44,256.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.