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Finding the Fourth Proportional to 112,196.38, 154,831.00 and 61,895.38

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Solution

The fourth proportional to 112,196.38, 154,831.00 and 61,895.38 is: 85,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,196.38 : 154,831.00 = 61,895.38 : x
  2. Step 2: Convert to fraction form
    112,196.38/154,831.00 = 61,895.38/x
  3. Step 3: Cross multiply
    112,196.38x = 154,831.00 × 61,895.38
  4. Step 4: Simplify right side
    112,196.38x = 9,583,323,271.30
  5. Step 5: Solve for x
    x = 9,583,323,271.30/112,196.38
  6. Step 6: Final answer
    x = 85,415.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.