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Finding the Fourth Proportional to 102,709.65, 141,734.16 and 57,378.63

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Solution

The fourth proportional to 102,709.65, 141,734.16 and 57,378.63 is: 79,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.65 : 141,734.16 = 57,378.63 : x
  2. Step 2: Convert to fraction form
    102,709.65/141,734.16 = 57,378.63/x
  3. Step 3: Cross multiply
    102,709.65x = 141,734.16 × 57,378.63
  4. Step 4: Simplify right side
    102,709.65x = 8,132,511,925.00
  5. Step 5: Solve for x
    x = 8,132,511,925.00/102,709.65
  6. Step 6: Final answer
    x = 79,179.63

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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.