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Finding the Fourth Proportional to 77,696, 116,373.36 and 64,216.40

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Solution

The fourth proportional to 77,696, 116,373.36 and 64,216.40 is: 96,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696 : 116,373.36 = 64,216.40 : x
  2. Step 2: Convert to fraction form
    77,696/116,373.36 = 64,216.40/x
  3. Step 3: Cross multiply
    77,696x = 116,373.36 × 64,216.40
  4. Step 4: Simplify right side
    77,696x = 7,473,078,235.10
  5. Step 5: Solve for x
    x = 7,473,078,235.10/77,696
  6. Step 6: Final answer
    x = 96,183.56

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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.