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Finding the Fourth Proportional to 208,000.89, 287,016.54 and 117,351.56

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Solution

The fourth proportional to 208,000.89, 287,016.54 and 117,351.56 is: 161,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.89 : 287,016.54 = 117,351.56 : x
  2. Step 2: Convert to fraction form
    208,000.89/287,016.54 = 117,351.56/x
  3. Step 3: Cross multiply
    208,000.89x = 287,016.54 × 117,351.56
  4. Step 4: Simplify right side
    208,000.89x = 33,681,838,714.80
  5. Step 5: Solve for x
    x = 33,681,838,714.80/208,000.89
  6. Step 6: Final answer
    x = 161,931.22

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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.