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Finding the Fourth Proportional to 208,283.10, 287,430.61 and 112,789.77

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Solution

The fourth proportional to 208,283.10, 287,430.61 and 112,789.77 is: 155,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283.10 : 287,430.61 = 112,789.77 : x
  2. Step 2: Convert to fraction form
    208,283.10/287,430.61 = 112,789.77/x
  3. Step 3: Cross multiply
    208,283.10x = 287,430.61 × 112,789.77
  4. Step 4: Simplify right side
    208,283.10x = 32,419,232,392.86
  5. Step 5: Solve for x
    x = 32,419,232,392.86/208,283.10
  6. Step 6: Final answer
    x = 155,649.85

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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.