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Finding the Fourth Proportional to 260,010.10, 390,051.60 and 102,201.85

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Solution

The fourth proportional to 260,010.10, 390,051.60 and 102,201.85 is: 153,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,010.10 : 390,051.60 = 102,201.85 : x
  2. Step 2: Convert to fraction form
    260,010.10/390,051.60 = 102,201.85/x
  3. Step 3: Cross multiply
    260,010.10x = 390,051.60 × 102,201.85
  4. Step 4: Simplify right side
    260,010.10x = 39,863,995,115.46
  5. Step 5: Solve for x
    x = 39,863,995,115.46/260,010.10
  6. Step 6: Final answer
    x = 153,317.10

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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.