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Finding the Fourth Proportional to 260,012.08, 390,032.70 and 73,009

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Solution

The fourth proportional to 260,012.08, 390,032.70 and 73,009 is: 109,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,012.08 : 390,032.70 = 73,009 : x
  2. Step 2: Convert to fraction form
    260,012.08/390,032.70 = 73,009/x
  3. Step 3: Cross multiply
    260,012.08x = 390,032.70 × 73,009
  4. Step 4: Simplify right side
    260,012.08x = 28,475,897,394.30
  5. Step 5: Solve for x
    x = 28,475,897,394.30/260,012.08
  6. Step 6: Final answer
    x = 109,517.59

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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.