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Finding the Fourth Proportional to 117,142.65, 161,613.36 and 76,878.77

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Solution

The fourth proportional to 117,142.65, 161,613.36 and 76,878.77 is: 106,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,142.65 : 161,613.36 = 76,878.77 : x
  2. Step 2: Convert to fraction form
    117,142.65/161,613.36 = 76,878.77/x
  3. Step 3: Cross multiply
    117,142.65x = 161,613.36 × 76,878.77
  4. Step 4: Simplify right side
    117,142.65x = 12,424,635,524.30
  5. Step 5: Solve for x
    x = 12,424,635,524.30/117,142.65
  6. Step 6: Final answer
    x = 106,064.15

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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.