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Finding the Fourth Proportional to 208,057.86, 287,114.91 and 117,411.42

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Solution

The fourth proportional to 208,057.86, 287,114.91 and 117,411.42 is: 162,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057.86 : 287,114.91 = 117,411.42 : x
  2. Step 2: Convert to fraction form
    208,057.86/287,114.91 = 117,411.42/x
  3. Step 3: Cross multiply
    208,057.86x = 287,114.91 × 117,411.42
  4. Step 4: Simplify right side
    208,057.86x = 33,710,569,286.27
  5. Step 5: Solve for x
    x = 33,710,569,286.27/208,057.86
  6. Step 6: Final answer
    x = 162,024.97

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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.