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Finding the Fourth Proportional to 78,234.39, 107,923.47 and 49,505.72

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Solution

The fourth proportional to 78,234.39, 107,923.47 and 49,505.72 is: 68,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.39 : 107,923.47 = 49,505.72 : x
  2. Step 2: Convert to fraction form
    78,234.39/107,923.47 = 49,505.72/x
  3. Step 3: Cross multiply
    78,234.39x = 107,923.47 × 49,505.72
  4. Step 4: Simplify right side
    78,234.39x = 5,342,828,547.63
  5. Step 5: Solve for x
    x = 5,342,828,547.63/78,234.39
  6. Step 6: Final answer
    x = 68,292.58

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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.