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Finding the Fourth Proportional to 208,610.78, 287,881.29 and 113,117.31

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Solution

The fourth proportional to 208,610.78, 287,881.29 and 113,117.31 is: 156,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,610.78 : 287,881.29 = 113,117.31 : x
  2. Step 2: Convert to fraction form
    208,610.78/287,881.29 = 113,117.31/x
  3. Step 3: Cross multiply
    208,610.78x = 287,881.29 × 113,117.31
  4. Step 4: Simplify right side
    208,610.78x = 32,564,357,124.13
  5. Step 5: Solve for x
    x = 32,564,357,124.13/208,610.78
  6. Step 6: Final answer
    x = 156,101.03

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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.