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Finding the Fourth Proportional to 208,307.41, 287,463.96 and 112,814.49

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Solution

The fourth proportional to 208,307.41, 287,463.96 and 112,814.49 is: 155,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307.41 : 287,463.96 = 112,814.49 : x
  2. Step 2: Convert to fraction form
    208,307.41/287,463.96 = 112,814.49/x
  3. Step 3: Cross multiply
    208,307.41x = 287,463.96 × 112,814.49
  4. Step 4: Simplify right side
    208,307.41x = 32,430,099,819.08
  5. Step 5: Solve for x
    x = 32,430,099,819.08/208,307.41
  6. Step 6: Final answer
    x = 155,683.85

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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.