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Finding the Fourth Proportional to 207,973.14, 287,002.94 and 112,479.80

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Solution

The fourth proportional to 207,973.14, 287,002.94 and 112,479.80 is: 155,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,973.14 : 287,002.94 = 112,479.80 : x
  2. Step 2: Convert to fraction form
    207,973.14/287,002.94 = 112,479.80/x
  3. Step 3: Cross multiply
    207,973.14x = 287,002.94 × 112,479.80
  4. Step 4: Simplify right side
    207,973.14x = 32,282,033,290.61
  5. Step 5: Solve for x
    x = 32,282,033,290.61/207,973.14
  6. Step 6: Final answer
    x = 155,222.13

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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.