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Finding the Fourth Proportional to 35,106.66, 52,664.54 and 12,920.30

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Solution

The fourth proportional to 35,106.66, 52,664.54 and 12,920.30 is: 19,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.66 : 52,664.54 = 12,920.30 : x
  2. Step 2: Convert to fraction form
    35,106.66/52,664.54 = 12,920.30/x
  3. Step 3: Cross multiply
    35,106.66x = 52,664.54 × 12,920.30
  4. Step 4: Simplify right side
    35,106.66x = 680,441,820.12
  5. Step 5: Solve for x
    x = 680,441,820.12/35,106.66
  6. Step 6: Final answer
    x = 19,382.13

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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.