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Finding the Fourth Proportional to 73,133.88, 109,705.08 and 20,547.47

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Solution

The fourth proportional to 73,133.88, 109,705.08 and 20,547.47 is: 30,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.88 : 109,705.08 = 20,547.47 : x
  2. Step 2: Convert to fraction form
    73,133.88/109,705.08 = 20,547.47/x
  3. Step 3: Cross multiply
    73,133.88x = 109,705.08 × 20,547.47
  4. Step 4: Simplify right side
    73,133.88x = 2,254,161,291.62
  5. Step 5: Solve for x
    x = 2,254,161,291.62/73,133.88
  6. Step 6: Final answer
    x = 30,822.39

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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.