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Finding the Fourth Proportional to 287,341.74, 431,080.01 and 87,662.06

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Solution

The fourth proportional to 287,341.74, 431,080.01 and 87,662.06 is: 131,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,341.74 : 431,080.01 = 87,662.06 : x
  2. Step 2: Convert to fraction form
    287,341.74/431,080.01 = 87,662.06/x
  3. Step 3: Cross multiply
    287,341.74x = 431,080.01 × 87,662.06
  4. Step 4: Simplify right side
    287,341.74x = 37,789,359,107.71
  5. Step 5: Solve for x
    x = 37,789,359,107.71/287,341.74
  6. Step 6: Final answer
    x = 131,513.64

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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.