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Finding the Fourth Proportional to 208,312.84, 287,489.42 and 117,685.44

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Solution

The fourth proportional to 208,312.84, 287,489.42 and 117,685.44 is: 162,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.84 : 287,489.42 = 117,685.44 : x
  2. Step 2: Convert to fraction form
    208,312.84/287,489.42 = 117,685.44/x
  3. Step 3: Cross multiply
    208,312.84x = 287,489.42 × 117,685.44
  4. Step 4: Simplify right side
    208,312.84x = 33,833,318,740.94
  5. Step 5: Solve for x
    x = 33,833,318,740.94/208,312.84
  6. Step 6: Final answer
    x = 162,415.91

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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.