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Finding the Fourth Proportional to 208,552.80, 287,804.34 and 113,061

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Solution

The fourth proportional to 208,552.80, 287,804.34 and 113,061 is: 156,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.80 : 287,804.34 = 113,061 : x
  2. Step 2: Convert to fraction form
    208,552.80/287,804.34 = 113,061/x
  3. Step 3: Cross multiply
    208,552.80x = 287,804.34 × 113,061
  4. Step 4: Simplify right side
    208,552.80x = 32,539,446,484.74
  5. Step 5: Solve for x
    x = 32,539,446,484.74/208,552.80
  6. Step 6: Final answer
    x = 156,024.98

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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.