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Finding the Fourth Proportional to 103,060.90, 142,233.06 and 57,738.16

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Solution

The fourth proportional to 103,060.90, 142,233.06 and 57,738.16 is: 79,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,060.90 : 142,233.06 = 57,738.16 : x
  2. Step 2: Convert to fraction form
    103,060.90/142,233.06 = 57,738.16/x
  3. Step 3: Cross multiply
    103,060.90x = 142,233.06 × 57,738.16
  4. Step 4: Simplify right side
    103,060.90x = 8,212,275,175.57
  5. Step 5: Solve for x
    x = 8,212,275,175.57/103,060.90
  6. Step 6: Final answer
    x = 79,683.71

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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.