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Finding the Fourth Proportional to 52,689.96, 79,065.86 and 19,433.20

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Solution

The fourth proportional to 52,689.96, 79,065.86 and 19,433.20 is: 29,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.96 : 79,065.86 = 19,433.20 : x
  2. Step 2: Convert to fraction form
    52,689.96/79,065.86 = 19,433.20/x
  3. Step 3: Cross multiply
    52,689.96x = 79,065.86 × 19,433.20
  4. Step 4: Simplify right side
    52,689.96x = 1,536,502,939.51
  5. Step 5: Solve for x
    x = 1,536,502,939.51/52,689.96
  6. Step 6: Final answer
    x = 29,161.21

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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.