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Finding the Fourth Proportional to 260,100.90, 390,372.84 and 102,440.07

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Solution

The fourth proportional to 260,100.90, 390,372.84 and 102,440.07 is: 153,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,100.90 : 390,372.84 = 102,440.07 : x
  2. Step 2: Convert to fraction form
    260,100.90/390,372.84 = 102,440.07/x
  3. Step 3: Cross multiply
    260,100.90x = 390,372.84 × 102,440.07
  4. Step 4: Simplify right side
    260,100.90x = 39,989,821,055.70
  5. Step 5: Solve for x
    x = 39,989,821,055.70/260,100.90
  6. Step 6: Final answer
    x = 153,747.34

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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.