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Finding the Fourth Proportional to 105,098.30, 145,034.46 and 57,352.46

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Solution

The fourth proportional to 105,098.30, 145,034.46 and 57,352.46 is: 79,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.30 : 145,034.46 = 57,352.46 : x
  2. Step 2: Convert to fraction form
    105,098.30/145,034.46 = 57,352.46/x
  3. Step 3: Cross multiply
    105,098.30x = 145,034.46 × 57,352.46
  4. Step 4: Simplify right side
    105,098.30x = 8,318,083,065.77
  5. Step 5: Solve for x
    x = 8,318,083,065.77/105,098.30
  6. Step 6: Final answer
    x = 79,145.74

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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.