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Finding the Fourth Proportional to 102,394.38, 153,734.92 and 52,509.72

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Solution

The fourth proportional to 102,394.38, 153,734.92 and 52,509.72 is: 78,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394.38 : 153,734.92 = 52,509.72 : x
  2. Step 2: Convert to fraction form
    102,394.38/153,734.92 = 52,509.72/x
  3. Step 3: Cross multiply
    102,394.38x = 153,734.92 × 52,509.72
  4. Step 4: Simplify right side
    102,394.38x = 8,072,577,603.42
  5. Step 5: Solve for x
    x = 8,072,577,603.42/102,394.38
  6. Step 6: Final answer
    x = 78,838.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.