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Finding the Fourth Proportional to 78,124.74, 107,805.65 and 45,855.87

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Solution

The fourth proportional to 78,124.74, 107,805.65 and 45,855.87 is: 63,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.74 : 107,805.65 = 45,855.87 : x
  2. Step 2: Convert to fraction form
    78,124.74/107,805.65 = 45,855.87/x
  3. Step 3: Cross multiply
    78,124.74x = 107,805.65 × 45,855.87
  4. Step 4: Simplify right side
    78,124.74x = 4,943,521,642.39
  5. Step 5: Solve for x
    x = 4,943,521,642.39/78,124.74
  6. Step 6: Final answer
    x = 63,277.29

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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.