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Finding the Fourth Proportional to 287,658.91, 431,419.16 and 87,981.03

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Solution

The fourth proportional to 287,658.91, 431,419.16 and 87,981.03 is: 131,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658.91 : 431,419.16 = 87,981.03 : x
  2. Step 2: Convert to fraction form
    287,658.91/431,419.16 = 87,981.03/x
  3. Step 3: Cross multiply
    287,658.91x = 431,419.16 × 87,981.03
  4. Step 4: Simplify right side
    287,658.91x = 37,956,702,058.53
  5. Step 5: Solve for x
    x = 37,956,702,058.53/287,658.91
  6. Step 6: Final answer
    x = 131,950.38

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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.