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Finding the Fourth Proportional to 208,496, 287,722.86 and 113,000.24

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Solution

The fourth proportional to 208,496, 287,722.86 and 113,000.24 is: 155,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,496 : 287,722.86 = 113,000.24 : x
  2. Step 2: Convert to fraction form
    208,496/287,722.86 = 113,000.24/x
  3. Step 3: Cross multiply
    208,496x = 287,722.86 × 113,000.24
  4. Step 4: Simplify right side
    208,496x = 32,512,752,233.49
  5. Step 5: Solve for x
    x = 32,512,752,233.49/208,496
  6. Step 6: Final answer
    x = 155,939.45

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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.