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Finding the Fourth Proportional to 208,496.08, 287,725.08 and 113,002.66

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Solution

The fourth proportional to 208,496.08, 287,725.08 and 113,002.66 is: 155,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,496.08 : 287,725.08 = 113,002.66 : x
  2. Step 2: Convert to fraction form
    208,496.08/287,725.08 = 113,002.66/x
  3. Step 3: Cross multiply
    208,496.08x = 287,725.08 × 113,002.66
  4. Step 4: Simplify right side
    208,496.08x = 32,513,699,388.71
  5. Step 5: Solve for x
    x = 32,513,699,388.71/208,496.08
  6. Step 6: Final answer
    x = 155,943.94

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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.