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Finding the Fourth Proportional to 207,987.54, 287,022.86 and 117,362.71

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Solution

The fourth proportional to 207,987.54, 287,022.86 and 117,362.71 is: 161,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987.54 : 287,022.86 = 117,362.71 : x
  2. Step 2: Convert to fraction form
    207,987.54/287,022.86 = 117,362.71/x
  3. Step 3: Cross multiply
    207,987.54x = 287,022.86 × 117,362.71
  4. Step 4: Simplify right side
    207,987.54x = 33,685,780,094.74
  5. Step 5: Solve for x
    x = 33,685,780,094.74/207,987.54
  6. Step 6: Final answer
    x = 161,960.57

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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.