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Finding the Fourth Proportional to 260,148.75, 390,370.75 and 102,487.92

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Solution

The fourth proportional to 260,148.75, 390,370.75 and 102,487.92 is: 153,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,148.75 : 390,370.75 = 102,487.92 : x
  2. Step 2: Convert to fraction form
    260,148.75/390,370.75 = 102,487.92/x
  3. Step 3: Cross multiply
    260,148.75x = 390,370.75 × 102,487.92
  4. Step 4: Simplify right side
    260,148.75x = 40,008,286,196.34
  5. Step 5: Solve for x
    x = 40,008,286,196.34/260,148.75
  6. Step 6: Final answer
    x = 153,790.04

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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.