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Finding the Fourth Proportional to 76,532.74, 105,613.13 and 42,540.38

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Solution

The fourth proportional to 76,532.74, 105,613.13 and 42,540.38 is: 58,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,532.74 : 105,613.13 = 42,540.38 : x
  2. Step 2: Convert to fraction form
    76,532.74/105,613.13 = 42,540.38/x
  3. Step 3: Cross multiply
    76,532.74x = 105,613.13 × 42,540.38
  4. Step 4: Simplify right side
    76,532.74x = 4,492,822,683.19
  5. Step 5: Solve for x
    x = 4,492,822,683.19/76,532.74
  6. Step 6: Final answer
    x = 58,704.58

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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.