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Finding the Fourth Proportional to 287,863.88, 431,795.81 and 100,875.38

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Solution

The fourth proportional to 287,863.88, 431,795.81 and 100,875.38 is: 151,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,863.88 : 431,795.81 = 100,875.38 : x
  2. Step 2: Convert to fraction form
    287,863.88/431,795.81 = 100,875.38/x
  3. Step 3: Cross multiply
    287,863.88x = 431,795.81 × 100,875.38
  4. Step 4: Simplify right side
    287,863.88x = 43,557,564,509.37
  5. Step 5: Solve for x
    x = 43,557,564,509.37/287,863.88
  6. Step 6: Final answer
    x = 151,313.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.