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Finding the Fourth Proportional to 77,360.80, 116,041.20 and 61,808.80

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Solution

The fourth proportional to 77,360.80, 116,041.20 and 61,808.80 is: 92,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,360.80 : 116,041.20 = 61,808.80 : x
  2. Step 2: Convert to fraction form
    77,360.80/116,041.20 = 61,808.80/x
  3. Step 3: Cross multiply
    77,360.80x = 116,041.20 × 61,808.80
  4. Step 4: Simplify right side
    77,360.80x = 7,172,367,322.56
  5. Step 5: Solve for x
    x = 7,172,367,322.56/77,360.80
  6. Step 6: Final answer
    x = 92,713.20

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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.