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Finding the Fourth Proportional to 105,868.80, 158,803.20 and 56,716.80

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Solution

The fourth proportional to 105,868.80, 158,803.20 and 56,716.80 is: 85,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,868.80 : 158,803.20 = 56,716.80 : x
  2. Step 2: Convert to fraction form
    105,868.80/158,803.20 = 56,716.80/x
  3. Step 3: Cross multiply
    105,868.80x = 158,803.20 × 56,716.80
  4. Step 4: Simplify right side
    105,868.80x = 9,006,809,333.76
  5. Step 5: Solve for x
    x = 9,006,809,333.76/105,868.80
  6. Step 6: Final answer
    x = 85,075.20

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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.