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Finding the Fourth Proportional to 287,986.58, 431,930.62 and 77,575.30

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Solution

The fourth proportional to 287,986.58, 431,930.62 and 77,575.30 is: 116,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,986.58 : 431,930.62 = 77,575.30 : x
  2. Step 2: Convert to fraction form
    287,986.58/431,930.62 = 77,575.30/x
  3. Step 3: Cross multiply
    287,986.58x = 431,930.62 × 77,575.30
  4. Step 4: Simplify right side
    287,986.58x = 33,507,147,425.69
  5. Step 5: Solve for x
    x = 33,507,147,425.69/287,986.58
  6. Step 6: Final answer
    x = 116,349.68

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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.