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Finding the Fourth Proportional to 205,241.40, 307,862.10 and 72,271.80

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Solution

The fourth proportional to 205,241.40, 307,862.10 and 72,271.80 is: 108,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,241.40 : 307,862.10 = 72,271.80 : x
  2. Step 2: Convert to fraction form
    205,241.40/307,862.10 = 72,271.80/x
  3. Step 3: Cross multiply
    205,241.40x = 307,862.10 × 72,271.80
  4. Step 4: Simplify right side
    205,241.40x = 22,249,748,118.78
  5. Step 5: Solve for x
    x = 22,249,748,118.78/205,241.40
  6. Step 6: Final answer
    x = 108,407.70

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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.