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Finding the Fourth Proportional to 65,724, 90,699.12 and 35,916

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Solution

The fourth proportional to 65,724, 90,699.12 and 35,916 is: 49,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724 : 90,699.12 = 35,916 : x
  2. Step 2: Convert to fraction form
    65,724/90,699.12 = 35,916/x
  3. Step 3: Cross multiply
    65,724x = 90,699.12 × 35,916
  4. Step 4: Simplify right side
    65,724x = 3,257,549,593.92
  5. Step 5: Solve for x
    x = 3,257,549,593.92/65,724
  6. Step 6: Final answer
    x = 49,564.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.