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Finding the Fourth Proportional to 65,292, 90,103.68 and 35,484

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Solution

The fourth proportional to 65,292, 90,103.68 and 35,484 is: 48,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292 : 90,103.68 = 35,484 : x
  2. Step 2: Convert to fraction form
    65,292/90,103.68 = 35,484/x
  3. Step 3: Cross multiply
    65,292x = 90,103.68 × 35,484
  4. Step 4: Simplify right side
    65,292x = 3,197,238,981.12
  5. Step 5: Solve for x
    x = 3,197,238,981.12/65,292
  6. Step 6: Final answer
    x = 48,968.31

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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.