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Finding the Fourth Proportional to 208,312.48, 287,469.78 and 112,816.96

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Solution

The fourth proportional to 208,312.48, 287,469.78 and 112,816.96 is: 155,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.48 : 287,469.78 = 112,816.96 : x
  2. Step 2: Convert to fraction form
    208,312.48/287,469.78 = 112,816.96/x
  3. Step 3: Cross multiply
    208,312.48x = 287,469.78 × 112,816.96
  4. Step 4: Simplify right side
    208,312.48x = 32,431,466,671.47
  5. Step 5: Solve for x
    x = 32,431,466,671.47/208,312.48
  6. Step 6: Final answer
    x = 155,686.62

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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.