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Finding the Fourth Proportional to 260,167.20, 390,092.40 and 102,206.40

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Solution

The fourth proportional to 260,167.20, 390,092.40 and 102,206.40 is: 153,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,167.20 : 390,092.40 = 102,206.40 : x
  2. Step 2: Convert to fraction form
    260,167.20/390,092.40 = 102,206.40/x
  3. Step 3: Cross multiply
    260,167.20x = 390,092.40 × 102,206.40
  4. Step 4: Simplify right side
    260,167.20x = 39,869,939,871.36
  5. Step 5: Solve for x
    x = 39,869,939,871.36/260,167.20
  6. Step 6: Final answer
    x = 153,247.37

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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.