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Finding the Fourth Proportional to 82,869, 124,303.50 and 27,465

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Solution

The fourth proportional to 82,869, 124,303.50 and 27,465 is: 41,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,869 : 124,303.50 = 27,465 : x
  2. Step 2: Convert to fraction form
    82,869/124,303.50 = 27,465/x
  3. Step 3: Cross multiply
    82,869x = 124,303.50 × 27,465
  4. Step 4: Simplify right side
    82,869x = 3,413,995,627.50
  5. Step 5: Solve for x
    x = 3,413,995,627.50/82,869
  6. Step 6: Final answer
    x = 41,197.50

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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.