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Finding the Fourth Proportional to 208,186.84, 287,297.76 and 112,694.32

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Solution

The fourth proportional to 208,186.84, 287,297.76 and 112,694.32 is: 155,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,186.84 : 287,297.76 = 112,694.32 : x
  2. Step 2: Convert to fraction form
    208,186.84/287,297.76 = 112,694.32/x
  3. Step 3: Cross multiply
    208,186.84x = 287,297.76 × 112,694.32
  4. Step 4: Simplify right side
    208,186.84x = 32,376,825,700.72
  5. Step 5: Solve for x
    x = 32,376,825,700.72/208,186.84
  6. Step 6: Final answer
    x = 155,518.12

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1.5x scale

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.