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Finding the Fourth Proportional to 78,140.61, 107,843.81 and 46,321.65

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Solution

The fourth proportional to 78,140.61, 107,843.81 and 46,321.65 is: 63,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.61 : 107,843.81 = 46,321.65 : x
  2. Step 2: Convert to fraction form
    78,140.61/107,843.81 = 46,321.65/x
  3. Step 3: Cross multiply
    78,140.61x = 107,843.81 × 46,321.65
  4. Step 4: Simplify right side
    78,140.61x = 4,995,502,989.88
  5. Step 5: Solve for x
    x = 4,995,502,989.88/78,140.61
  6. Step 6: Final answer
    x = 63,929.66

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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.