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Finding the Fourth Proportional to 208,329.19, 287,494.29 and 112,836.58

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Solution

The fourth proportional to 208,329.19, 287,494.29 and 112,836.58 is: 155,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,329.19 : 287,494.29 = 112,836.58 : x
  2. Step 2: Convert to fraction form
    208,329.19/287,494.29 = 112,836.58/x
  3. Step 3: Cross multiply
    208,329.19x = 287,494.29 × 112,836.58
  4. Step 4: Simplify right side
    208,329.19x = 32,439,871,734.39
  5. Step 5: Solve for x
    x = 32,439,871,734.39/208,329.19
  6. Step 6: Final answer
    x = 155,714.48

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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.