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Finding the Fourth Proportional to 260,030.30, 390,045.45 and 82,551.20

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Solution

The fourth proportional to 260,030.30, 390,045.45 and 82,551.20 is: 123,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,030.30 : 390,045.45 = 82,551.20 : x
  2. Step 2: Convert to fraction form
    260,030.30/390,045.45 = 82,551.20/x
  3. Step 3: Cross multiply
    260,030.30x = 390,045.45 × 82,551.20
  4. Step 4: Simplify right side
    260,030.30x = 32,198,719,952.04
  5. Step 5: Solve for x
    x = 32,198,719,952.04/260,030.30
  6. Step 6: Final answer
    x = 123,826.80

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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.