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Finding the Fourth Proportional to 260,013.70, 390,020.55 and 102,189.70

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Solution

The fourth proportional to 260,013.70, 390,020.55 and 102,189.70 is: 153,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.70 : 390,020.55 = 102,189.70 : x
  2. Step 2: Convert to fraction form
    260,013.70/390,020.55 = 102,189.70/x
  3. Step 3: Cross multiply
    260,013.70x = 390,020.55 × 102,189.70
  4. Step 4: Simplify right side
    260,013.70x = 39,856,082,998.34
  5. Step 5: Solve for x
    x = 39,856,082,998.34/260,013.70
  6. Step 6: Final answer
    x = 153,284.55

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1.5x scale

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.