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Finding the Fourth Proportional to 76,386.40, 114,482.40 and 68,027.20

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Solution

The fourth proportional to 76,386.40, 114,482.40 and 68,027.20 is: 101,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.40 : 114,482.40 = 68,027.20 : x
  2. Step 2: Convert to fraction form
    76,386.40/114,482.40 = 68,027.20/x
  3. Step 3: Cross multiply
    76,386.40x = 114,482.40 × 68,027.20
  4. Step 4: Simplify right side
    76,386.40x = 7,787,917,121.28
  5. Step 5: Solve for x
    x = 7,787,917,121.28/76,386.40
  6. Step 6: Final answer
    x = 101,954.24

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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.