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Finding the Fourth Proportional to 45,565, 68,347.50 and 12,733

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Solution

The fourth proportional to 45,565, 68,347.50 and 12,733 is: 19,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,565 : 68,347.50 = 12,733 : x
  2. Step 2: Convert to fraction form
    45,565/68,347.50 = 12,733/x
  3. Step 3: Cross multiply
    45,565x = 68,347.50 × 12,733
  4. Step 4: Simplify right side
    45,565x = 870,268,717.50
  5. Step 5: Solve for x
    x = 870,268,717.50/45,565
  6. Step 6: Final answer
    x = 19,099.50

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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.