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Finding the Fourth Proportional to 85,684.81, 128,502.54 and 29,522.65

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Solution

The fourth proportional to 85,684.81, 128,502.54 and 29,522.65 is: 44,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,684.81 : 128,502.54 = 29,522.65 : x
  2. Step 2: Convert to fraction form
    85,684.81/128,502.54 = 29,522.65/x
  3. Step 3: Cross multiply
    85,684.81x = 128,502.54 × 29,522.65
  4. Step 4: Simplify right side
    85,684.81x = 3,793,735,364.92
  5. Step 5: Solve for x
    x = 3,793,735,364.92/85,684.81
  6. Step 6: Final answer
    x = 44,275.47

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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.