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Finding the Fourth Proportional to 85,399.60, 127,807.80 and 78,401.20

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Solution

The fourth proportional to 85,399.60, 127,807.80 and 78,401.20 is: 117,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,399.60 : 127,807.80 = 78,401.20 : x
  2. Step 2: Convert to fraction form
    85,399.60/127,807.80 = 78,401.20/x
  3. Step 3: Cross multiply
    85,399.60x = 127,807.80 × 78,401.20
  4. Step 4: Simplify right side
    85,399.60x = 10,020,284,889.36
  5. Step 5: Solve for x
    x = 10,020,284,889.36/85,399.60
  6. Step 6: Final answer
    x = 117,334.10

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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.