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Finding the Fourth Proportional to 102,932, 142,050 and 58,219.04

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Solution

The fourth proportional to 102,932, 142,050 and 58,219.04 is: 80,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932 : 142,050 = 58,219.04 : x
  2. Step 2: Convert to fraction form
    102,932/142,050 = 58,219.04/x
  3. Step 3: Cross multiply
    102,932x = 142,050 × 58,219.04
  4. Step 4: Simplify right side
    102,932x = 8,270,014,632
  5. Step 5: Solve for x
    x = 8,270,014,632/102,932
  6. Step 6: Final answer
    x = 80,344.45

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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.