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Finding the Fourth Proportional to 208,521.91, 287,752.53 and 113,026.56

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Solution

The fourth proportional to 208,521.91, 287,752.53 and 113,026.56 is: 155,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.91 : 287,752.53 = 113,026.56 : x
  2. Step 2: Convert to fraction form
    208,521.91/287,752.53 = 113,026.56/x
  3. Step 3: Cross multiply
    208,521.91x = 287,752.53 × 113,026.56
  4. Step 4: Simplify right side
    208,521.91x = 32,523,677,845.74
  5. Step 5: Solve for x
    x = 32,523,677,845.74/208,521.91
  6. Step 6: Final answer
    x = 155,972.47

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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.