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Finding the Fourth Proportional to 76,977.10, 115,465.65 and 65,701.90

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Solution

The fourth proportional to 76,977.10, 115,465.65 and 65,701.90 is: 98,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977.10 : 115,465.65 = 65,701.90 : x
  2. Step 2: Convert to fraction form
    76,977.10/115,465.65 = 65,701.90/x
  3. Step 3: Cross multiply
    76,977.10x = 115,465.65 × 65,701.90
  4. Step 4: Simplify right side
    76,977.10x = 7,586,312,589.74
  5. Step 5: Solve for x
    x = 7,586,312,589.74/76,977.10
  6. Step 6: Final answer
    x = 98,552.85

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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.