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Finding the Fourth Proportional to 76,442.40, 114,404.40 and 67,111.20

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Solution

The fourth proportional to 76,442.40, 114,404.40 and 67,111.20 is: 100,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.40 : 114,404.40 = 67,111.20 : x
  2. Step 2: Convert to fraction form
    76,442.40/114,404.40 = 67,111.20/x
  3. Step 3: Cross multiply
    76,442.40x = 114,404.40 × 67,111.20
  4. Step 4: Simplify right side
    76,442.40x = 7,677,816,569.28
  5. Step 5: Solve for x
    x = 7,677,816,569.28/76,442.40
  6. Step 6: Final answer
    x = 100,439.24

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1.5x scale

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.