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Finding the Fourth Proportional to 207,855.78, 286,841.41 and 112,362.48

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Solution

The fourth proportional to 207,855.78, 286,841.41 and 112,362.48 is: 155,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,855.78 : 286,841.41 = 112,362.48 : x
  2. Step 2: Convert to fraction form
    207,855.78/286,841.41 = 112,362.48/x
  3. Step 3: Cross multiply
    207,855.78x = 286,841.41 × 112,362.48
  4. Step 4: Simplify right side
    207,855.78x = 32,230,212,300.07
  5. Step 5: Solve for x
    x = 32,230,212,300.07/207,855.78
  6. Step 6: Final answer
    x = 155,060.45

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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.