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Finding the Fourth Proportional to 272,806.80, 409,210.20 and 85,875.60

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Solution

The fourth proportional to 272,806.80, 409,210.20 and 85,875.60 is: 128,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,806.80 : 409,210.20 = 85,875.60 : x
  2. Step 2: Convert to fraction form
    272,806.80/409,210.20 = 85,875.60/x
  3. Step 3: Cross multiply
    272,806.80x = 409,210.20 × 85,875.60
  4. Step 4: Simplify right side
    272,806.80x = 35,141,171,451.12
  5. Step 5: Solve for x
    x = 35,141,171,451.12/272,806.80
  6. Step 6: Final answer
    x = 128,813.40

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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.