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Finding the Fourth Proportional to 197,382, 296,075.52 and 57,140.76

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Solution

The fourth proportional to 197,382, 296,075.52 and 57,140.76 is: 85,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,382 : 296,075.52 = 57,140.76 : x
  2. Step 2: Convert to fraction form
    197,382/296,075.52 = 57,140.76/x
  3. Step 3: Cross multiply
    197,382x = 296,075.52 × 57,140.76
  4. Step 4: Simplify right side
    197,382x = 16,917,980,230.20
  5. Step 5: Solve for x
    x = 16,917,980,230.20/197,382
  6. Step 6: Final answer
    x = 85,711.87

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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.