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Finding the Fourth Proportional to 208,324.42, 287,487.71 and 112,831.12

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Solution

The fourth proportional to 208,324.42, 287,487.71 and 112,831.12 is: 155,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,324.42 : 287,487.71 = 112,831.12 : x
  2. Step 2: Convert to fraction form
    208,324.42/287,487.71 = 112,831.12/x
  3. Step 3: Cross multiply
    208,324.42x = 287,487.71 × 112,831.12
  4. Step 4: Simplify right side
    208,324.42x = 32,437,559,022.66
  5. Step 5: Solve for x
    x = 32,437,559,022.66/208,324.42
  6. Step 6: Final answer
    x = 155,706.95

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1.5x scale

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.