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Finding the Fourth Proportional to 208,132.57, 287,223.45 and 112,640.32

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Solution

The fourth proportional to 208,132.57, 287,223.45 and 112,640.32 is: 155,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.57 : 287,223.45 = 112,640.32 : x
  2. Step 2: Convert to fraction form
    208,132.57/287,223.45 = 112,640.32/x
  3. Step 3: Cross multiply
    208,132.57x = 287,223.45 × 112,640.32
  4. Step 4: Simplify right side
    208,132.57x = 32,352,939,883.39
  5. Step 5: Solve for x
    x = 32,352,939,883.39/208,132.57
  6. Step 6: Final answer
    x = 155,443.91

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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.