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Finding the Fourth Proportional to 260,511.90, 390,670.65 and 102,707.70

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Solution

The fourth proportional to 260,511.90, 390,670.65 and 102,707.70 is: 154,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,511.90 : 390,670.65 = 102,707.70 : x
  2. Step 2: Convert to fraction form
    260,511.90/390,670.65 = 102,707.70/x
  3. Step 3: Cross multiply
    260,511.90x = 390,670.65 × 102,707.70
  4. Step 4: Simplify right side
    260,511.90x = 40,124,883,919.01
  5. Step 5: Solve for x
    x = 40,124,883,919.01/260,511.90
  6. Step 6: Final answer
    x = 154,023.23

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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.