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Finding the Fourth Proportional to 100,585.98, 150,911.73 and 47,988.66

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Solution

The fourth proportional to 100,585.98, 150,911.73 and 47,988.66 is: 71,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,585.98 : 150,911.73 = 47,988.66 : x
  2. Step 2: Convert to fraction form
    100,585.98/150,911.73 = 47,988.66/x
  3. Step 3: Cross multiply
    100,585.98x = 150,911.73 × 47,988.66
  4. Step 4: Simplify right side
    100,585.98x = 7,242,051,700.98
  5. Step 5: Solve for x
    x = 7,242,051,700.98/100,585.98
  6. Step 6: Final answer
    x = 71,998.62

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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.