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Finding the Fourth Proportional to 78,040.40, 116,801.40 and 54,712.40

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Solution

The fourth proportional to 78,040.40, 116,801.40 and 54,712.40 is: 81,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040.40 : 116,801.40 = 54,712.40 : x
  2. Step 2: Convert to fraction form
    78,040.40/116,801.40 = 54,712.40/x
  3. Step 3: Cross multiply
    78,040.40x = 116,801.40 × 54,712.40
  4. Step 4: Simplify right side
    78,040.40x = 6,390,484,917.36
  5. Step 5: Solve for x
    x = 6,390,484,917.36/78,040.40
  6. Step 6: Final answer
    x = 81,886.88

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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.