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Finding the Fourth Proportional to 77,606.40, 116,150.40 and 68,275.20

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Solution

The fourth proportional to 77,606.40, 116,150.40 and 68,275.20 is: 102,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606.40 : 116,150.40 = 68,275.20 : x
  2. Step 2: Convert to fraction form
    77,606.40/116,150.40 = 68,275.20/x
  3. Step 3: Cross multiply
    77,606.40x = 116,150.40 × 68,275.20
  4. Step 4: Simplify right side
    77,606.40x = 7,930,191,790.08
  5. Step 5: Solve for x
    x = 7,930,191,790.08/77,606.40
  6. Step 6: Final answer
    x = 102,184.77

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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.