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Finding the Fourth Proportional to 208,133.79, 287,224.51 and 117,490.54

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Solution

The fourth proportional to 208,133.79, 287,224.51 and 117,490.54 is: 162,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.79 : 287,224.51 = 117,490.54 : x
  2. Step 2: Convert to fraction form
    208,133.79/287,224.51 = 117,490.54/x
  3. Step 3: Cross multiply
    208,133.79x = 287,224.51 × 117,490.54
  4. Step 4: Simplify right side
    208,133.79x = 33,746,161,671.39
  5. Step 5: Solve for x
    x = 33,746,161,671.39/208,133.79
  6. Step 6: Final answer
    x = 162,136.87

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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.