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Finding the Fourth Proportional to 208,047.68, 287,113.12 and 117,398.36

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Solution

The fourth proportional to 208,047.68, 287,113.12 and 117,398.36 is: 162,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.68 : 287,113.12 = 117,398.36 : x
  2. Step 2: Convert to fraction form
    208,047.68/287,113.12 = 117,398.36/x
  3. Step 3: Cross multiply
    208,047.68x = 287,113.12 × 117,398.36
  4. Step 4: Simplify right side
    208,047.68x = 33,706,609,422.48
  5. Step 5: Solve for x
    x = 33,706,609,422.48/208,047.68
  6. Step 6: Final answer
    x = 162,013.87

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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.