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Finding the Fourth Proportional to 208,523.76, 287,737.02 and 148,072.35

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Solution

The fourth proportional to 208,523.76, 287,737.02 and 148,072.35 is: 204,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.76 : 287,737.02 = 148,072.35 : x
  2. Step 2: Convert to fraction form
    208,523.76/287,737.02 = 148,072.35/x
  3. Step 3: Cross multiply
    208,523.76x = 287,737.02 × 148,072.35
  4. Step 4: Simplify right side
    208,523.76x = 42,605,896,733.40
  5. Step 5: Solve for x
    x = 42,605,896,733.40/208,523.76
  6. Step 6: Final answer
    x = 204,321.54

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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.