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Finding the Fourth Proportional to 78,117.73, 107,804.47 and 47,919.72

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Solution

The fourth proportional to 78,117.73, 107,804.47 and 47,919.72 is: 66,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.73 : 107,804.47 = 47,919.72 : x
  2. Step 2: Convert to fraction form
    78,117.73/107,804.47 = 47,919.72/x
  3. Step 3: Cross multiply
    78,117.73x = 107,804.47 × 47,919.72
  4. Step 4: Simplify right side
    78,117.73x = 5,165,960,017.15
  5. Step 5: Solve for x
    x = 5,165,960,017.15/78,117.73
  6. Step 6: Final answer
    x = 66,130.44

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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.