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Finding the Fourth Proportional to 500,760, 751,140.96 and 121,681.08

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Solution

The fourth proportional to 500,760, 751,140.96 and 121,681.08 is: 182,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,760 : 751,140.96 = 121,681.08 : x
  2. Step 2: Convert to fraction form
    500,760/751,140.96 = 121,681.08/x
  3. Step 3: Cross multiply
    500,760x = 751,140.96 × 121,681.08
  4. Step 4: Simplify right side
    500,760x = 91,399,643,245.04
  5. Step 5: Solve for x
    x = 91,399,643,245.04/500,760
  6. Step 6: Final answer
    x = 182,521.85

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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.