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Finding the Fourth Proportional to 287,107.64, 430,723.73 and 87,422.79

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Solution

The fourth proportional to 287,107.64, 430,723.73 and 87,422.79 is: 131,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,107.64 : 430,723.73 = 87,422.79 : x
  2. Step 2: Convert to fraction form
    287,107.64/430,723.73 = 87,422.79/x
  3. Step 3: Cross multiply
    287,107.64x = 430,723.73 × 87,422.79
  4. Step 4: Simplify right side
    287,107.64x = 37,655,071,537.82
  5. Step 5: Solve for x
    x = 37,655,071,537.82/287,107.64
  6. Step 6: Final answer
    x = 131,153.15

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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.