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Finding the Fourth Proportional to 103,732.50, 143,142.33 and 58,396

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Solution

The fourth proportional to 103,732.50, 143,142.33 and 58,396 is: 80,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,732.50 : 143,142.33 = 58,396 : x
  2. Step 2: Convert to fraction form
    103,732.50/143,142.33 = 58,396/x
  3. Step 3: Cross multiply
    103,732.50x = 143,142.33 × 58,396
  4. Step 4: Simplify right side
    103,732.50x = 8,358,939,502.68
  5. Step 5: Solve for x
    x = 8,358,939,502.68/103,732.50
  6. Step 6: Final answer
    x = 80,581.68

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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.