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Finding the Fourth Proportional to 78,253.66, 117,180.13 and 43,154.38

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Solution

The fourth proportional to 78,253.66, 117,180.13 and 43,154.38 is: 64,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,253.66 : 117,180.13 = 43,154.38 : x
  2. Step 2: Convert to fraction form
    78,253.66/117,180.13 = 43,154.38/x
  3. Step 3: Cross multiply
    78,253.66x = 117,180.13 × 43,154.38
  4. Step 4: Simplify right side
    78,253.66x = 5,056,835,858.47
  5. Step 5: Solve for x
    x = 5,056,835,858.47/78,253.66
  6. Step 6: Final answer
    x = 64,621.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.