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Finding the Fourth Proportional to 287,657.91, 431,417.66 and 87,980.03

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Solution

The fourth proportional to 287,657.91, 431,417.66 and 87,980.03 is: 131,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,657.91 : 431,417.66 = 87,980.03 : x
  2. Step 2: Convert to fraction form
    287,657.91/431,417.66 = 87,980.03/x
  3. Step 3: Cross multiply
    287,657.91x = 431,417.66 × 87,980.03
  4. Step 4: Simplify right side
    287,657.91x = 37,956,136,732.19
  5. Step 5: Solve for x
    x = 37,956,136,732.19/287,657.91
  6. Step 6: Final answer
    x = 131,948.87

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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.