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Finding the Fourth Proportional to 102,931.48, 142,046.22 and 58,219.48

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Solution

The fourth proportional to 102,931.48, 142,046.22 and 58,219.48 is: 80,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,931.48 : 142,046.22 = 58,219.48 : x
  2. Step 2: Convert to fraction form
    102,931.48/142,046.22 = 58,219.48/x
  3. Step 3: Cross multiply
    102,931.48x = 142,046.22 × 58,219.48
  4. Step 4: Simplify right side
    102,931.48x = 8,269,857,064.37
  5. Step 5: Solve for x
    x = 8,269,857,064.37/102,931.48
  6. Step 6: Final answer
    x = 80,343.32

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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.