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Finding the Fourth Proportional to 260,345.20, 390,080.40 and 126,938.20

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Solution

The fourth proportional to 260,345.20, 390,080.40 and 126,938.20 is: 190,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,345.20 : 390,080.40 = 126,938.20 : x
  2. Step 2: Convert to fraction form
    260,345.20/390,080.40 = 126,938.20/x
  3. Step 3: Cross multiply
    260,345.20x = 390,080.40 × 126,938.20
  4. Step 4: Simplify right side
    260,345.20x = 49,516,103,831.28
  5. Step 5: Solve for x
    x = 49,516,103,831.28/260,345.20
  6. Step 6: Final answer
    x = 190,194.03

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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.