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Finding the Fourth Proportional to 208,132.32, 287,223.11 and 112,640.07

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Solution

The fourth proportional to 208,132.32, 287,223.11 and 112,640.07 is: 155,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.32 : 287,223.11 = 112,640.07 : x
  2. Step 2: Convert to fraction form
    208,132.32/287,223.11 = 112,640.07/x
  3. Step 3: Cross multiply
    208,132.32x = 287,223.11 × 112,640.07
  4. Step 4: Simplify right side
    208,132.32x = 32,352,829,216.70
  5. Step 5: Solve for x
    x = 32,352,829,216.70/208,132.32
  6. Step 6: Final answer
    x = 155,443.57

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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.