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Finding the Fourth Proportional to 78,261.66, 107,985.33 and 49,592.52

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Solution

The fourth proportional to 78,261.66, 107,985.33 and 49,592.52 is: 68,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261.66 : 107,985.33 = 49,592.52 : x
  2. Step 2: Convert to fraction form
    78,261.66/107,985.33 = 49,592.52/x
  3. Step 3: Cross multiply
    78,261.66x = 107,985.33 × 49,592.52
  4. Step 4: Simplify right side
    78,261.66x = 5,355,264,637.73
  5. Step 5: Solve for x
    x = 5,355,264,637.73/78,261.66
  6. Step 6: Final answer
    x = 68,427.69

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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.