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Finding the Fourth Proportional to 208,502, 287,732.60 and 113,008.71

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Solution

The fourth proportional to 208,502, 287,732.60 and 113,008.71 is: 155,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,502 : 287,732.60 = 113,008.71 : x
  2. Step 2: Convert to fraction form
    208,502/287,732.60 = 113,008.71/x
  3. Step 3: Cross multiply
    208,502x = 287,732.60 × 113,008.71
  4. Step 4: Simplify right side
    208,502x = 32,516,289,950.95
  5. Step 5: Solve for x
    x = 32,516,289,950.95/208,502
  6. Step 6: Final answer
    x = 155,951.93

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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.