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Finding the Fourth Proportional to 240,137.40, 360,206.10 and 90,411.28

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Solution

The fourth proportional to 240,137.40, 360,206.10 and 90,411.28 is: 135,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,137.40 : 360,206.10 = 90,411.28 : x
  2. Step 2: Convert to fraction form
    240,137.40/360,206.10 = 90,411.28/x
  3. Step 3: Cross multiply
    240,137.40x = 360,206.10 × 90,411.28
  4. Step 4: Simplify right side
    240,137.40x = 32,566,694,564.81
  5. Step 5: Solve for x
    x = 32,566,694,564.81/240,137.40
  6. Step 6: Final answer
    x = 135,616.92

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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.