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Finding the Fourth Proportional to 272,681.67, 409,043 and 72,997.63

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Solution

The fourth proportional to 272,681.67, 409,043 and 72,997.63 is: 109,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,681.67 : 409,043 = 72,997.63 : x
  2. Step 2: Convert to fraction form
    272,681.67/409,043 = 72,997.63/x
  3. Step 3: Cross multiply
    272,681.67x = 409,043 × 72,997.63
  4. Step 4: Simplify right side
    272,681.67x = 29,859,169,568.09
  5. Step 5: Solve for x
    x = 29,859,169,568.09/272,681.67
  6. Step 6: Final answer
    x = 109,501.93

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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.