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Finding the Fourth Proportional to 208,073.21, 287,142 and 117,432.99

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Solution

The fourth proportional to 208,073.21, 287,142 and 117,432.99 is: 162,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,073.21 : 287,142 = 117,432.99 : x
  2. Step 2: Convert to fraction form
    208,073.21/287,142 = 117,432.99/x
  3. Step 3: Cross multiply
    208,073.21x = 287,142 × 117,432.99
  4. Step 4: Simplify right side
    208,073.21x = 33,719,943,614.58
  5. Step 5: Solve for x
    x = 33,719,943,614.58/208,073.21
  6. Step 6: Final answer
    x = 162,058.08

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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.