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Finding the Fourth Proportional to 208,487.68, 287,713.50 and 112,994.35

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Solution

The fourth proportional to 208,487.68, 287,713.50 and 112,994.35 is: 155,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,487.68 : 287,713.50 = 112,994.35 : x
  2. Step 2: Convert to fraction form
    208,487.68/287,713.50 = 112,994.35/x
  3. Step 3: Cross multiply
    208,487.68x = 287,713.50 × 112,994.35
  4. Step 4: Simplify right side
    208,487.68x = 32,509,999,918.73
  5. Step 5: Solve for x
    x = 32,509,999,918.73/208,487.68
  6. Step 6: Final answer
    x = 155,932.47

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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.