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Finding the Fourth Proportional to 180,210.36, 270,384.66 and 69,411

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Solution

The fourth proportional to 180,210.36, 270,384.66 and 69,411 is: 104,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,210.36 : 270,384.66 = 69,411 : x
  2. Step 2: Convert to fraction form
    180,210.36/270,384.66 = 69,411/x
  3. Step 3: Cross multiply
    180,210.36x = 270,384.66 × 69,411
  4. Step 4: Simplify right side
    180,210.36x = 18,767,669,635.26
  5. Step 5: Solve for x
    x = 18,767,669,635.26/180,210.36
  6. Step 6: Final answer
    x = 104,143.12

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1.5x scale

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.