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Finding the Fourth Proportional to 208,377, 287,560.26 and 112,883.67

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Solution

The fourth proportional to 208,377, 287,560.26 and 112,883.67 is: 155,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,377 : 287,560.26 = 112,883.67 : x
  2. Step 2: Convert to fraction form
    208,377/287,560.26 = 112,883.67/x
  3. Step 3: Cross multiply
    208,377x = 287,560.26 × 112,883.67
  4. Step 4: Simplify right side
    208,377x = 32,460,857,494.95
  5. Step 5: Solve for x
    x = 32,460,857,494.95/208,377
  6. Step 6: Final answer
    x = 155,779.46

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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.