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Finding the Fourth Proportional to 77,311.32, 105,890.22 and 72,772.08

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Solution

The fourth proportional to 77,311.32, 105,890.22 and 72,772.08 is: 99,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.32 : 105,890.22 = 72,772.08 : x
  2. Step 2: Convert to fraction form
    77,311.32/105,890.22 = 72,772.08/x
  3. Step 3: Cross multiply
    77,311.32x = 105,890.22 × 72,772.08
  4. Step 4: Simplify right side
    77,311.32x = 7,705,851,561.06
  5. Step 5: Solve for x
    x = 7,705,851,561.06/77,311.32
  6. Step 6: Final answer
    x = 99,673.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.