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Finding the Fourth Proportional to 208,403.17, 287,596.64 and 112,909.84

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Solution

The fourth proportional to 208,403.17, 287,596.64 and 112,909.84 is: 155,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,403.17 : 287,596.64 = 112,909.84 : x
  2. Step 2: Convert to fraction form
    208,403.17/287,596.64 = 112,909.84/x
  3. Step 3: Cross multiply
    208,403.17x = 287,596.64 × 112,909.84
  4. Step 4: Simplify right side
    208,403.17x = 32,472,490,606.94
  5. Step 5: Solve for x
    x = 32,472,490,606.94/208,403.17
  6. Step 6: Final answer
    x = 155,815.72

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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.