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Finding the Fourth Proportional to 260,115.20, 390,014.40 and 102,154.40

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Solution

The fourth proportional to 260,115.20, 390,014.40 and 102,154.40 is: 153,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,115.20 : 390,014.40 = 102,154.40 : x
  2. Step 2: Convert to fraction form
    260,115.20/390,014.40 = 102,154.40/x
  3. Step 3: Cross multiply
    260,115.20x = 390,014.40 × 102,154.40
  4. Step 4: Simplify right side
    260,115.20x = 39,841,687,023.36
  5. Step 5: Solve for x
    x = 39,841,687,023.36/260,115.20
  6. Step 6: Final answer
    x = 153,169.39

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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.