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Finding the Fourth Proportional to 260,034.20, 390,051.30 and 102,210.20

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Solution

The fourth proportional to 260,034.20, 390,051.30 and 102,210.20 is: 153,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,034.20 : 390,051.30 = 102,210.20 : x
  2. Step 2: Convert to fraction form
    260,034.20/390,051.30 = 102,210.20/x
  3. Step 3: Cross multiply
    260,034.20x = 390,051.30 × 102,210.20
  4. Step 4: Simplify right side
    260,034.20x = 39,867,221,383.26
  5. Step 5: Solve for x
    x = 39,867,221,383.26/260,034.20
  6. Step 6: Final answer
    x = 153,315.30

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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.