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Finding the Fourth Proportional to 45,534, 68,312.52 and 12,702

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Solution

The fourth proportional to 45,534, 68,312.52 and 12,702 is: 19,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,534 : 68,312.52 = 12,702 : x
  2. Step 2: Convert to fraction form
    45,534/68,312.52 = 12,702/x
  3. Step 3: Cross multiply
    45,534x = 68,312.52 × 12,702
  4. Step 4: Simplify right side
    45,534x = 867,705,629.04
  5. Step 5: Solve for x
    x = 867,705,629.04/45,534
  6. Step 6: Final answer
    x = 19,056.21

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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.