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Finding the Fourth Proportional to 72,964.80, 109,386.45 and 30,877.20

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Solution

The fourth proportional to 72,964.80, 109,386.45 and 30,877.20 is: 46,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.80 : 109,386.45 = 30,877.20 : x
  2. Step 2: Convert to fraction form
    72,964.80/109,386.45 = 30,877.20/x
  3. Step 3: Cross multiply
    72,964.80x = 109,386.45 × 30,877.20
  4. Step 4: Simplify right side
    72,964.80x = 3,377,547,293.94
  5. Step 5: Solve for x
    x = 3,377,547,293.94/72,964.80
  6. Step 6: Final answer
    x = 46,290.09

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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.