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Finding the Fourth Proportional to 260,105.40, 390,060.90 and 102,301.20

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Solution

The fourth proportional to 260,105.40, 390,060.90 and 102,301.20 is: 153,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,105.40 : 390,060.90 = 102,301.20 : x
  2. Step 2: Convert to fraction form
    260,105.40/390,060.90 = 102,301.20/x
  3. Step 3: Cross multiply
    260,105.40x = 390,060.90 × 102,301.20
  4. Step 4: Simplify right side
    260,105.40x = 39,903,698,143.08
  5. Step 5: Solve for x
    x = 39,903,698,143.08/260,105.40
  6. Step 6: Final answer
    x = 153,413.57

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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.