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Finding the Fourth Proportional to 208,636.83, 287,916.30 and 113,142.39

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Solution

The fourth proportional to 208,636.83, 287,916.30 and 113,142.39 is: 156,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,636.83 : 287,916.30 = 113,142.39 : x
  2. Step 2: Convert to fraction form
    208,636.83/287,916.30 = 113,142.39/x
  3. Step 3: Cross multiply
    208,636.83x = 287,916.30 × 113,142.39
  4. Step 4: Simplify right side
    208,636.83x = 32,575,538,301.96
  5. Step 5: Solve for x
    x = 32,575,538,301.96/208,636.83
  6. Step 6: Final answer
    x = 156,135.13

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1.5x scale

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.