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Finding the Fourth Proportional to 208,635.84, 287,917.53 and 113,142.51

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Solution

The fourth proportional to 208,635.84, 287,917.53 and 113,142.51 is: 156,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,635.84 : 287,917.53 = 113,142.51 : x
  2. Step 2: Convert to fraction form
    208,635.84/287,917.53 = 113,142.51/x
  3. Step 3: Cross multiply
    208,635.84x = 287,917.53 × 113,142.51
  4. Step 4: Simplify right side
    208,635.84x = 32,575,712,017.20
  5. Step 5: Solve for x
    x = 32,575,712,017.20/208,635.84
  6. Step 6: Final answer
    x = 156,136.70

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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.