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Finding the Fourth Proportional to 208,353.42, 287,510.67 and 117,717.25

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Solution

The fourth proportional to 208,353.42, 287,510.67 and 117,717.25 is: 162,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,353.42 : 287,510.67 = 117,717.25 : x
  2. Step 2: Convert to fraction form
    208,353.42/287,510.67 = 117,717.25/x
  3. Step 3: Cross multiply
    208,353.42x = 287,510.67 × 117,717.25
  4. Step 4: Simplify right side
    208,353.42x = 33,844,965,418.06
  5. Step 5: Solve for x
    x = 33,844,965,418.06/208,353.42
  6. Step 6: Final answer
    x = 162,440.17

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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.