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Finding the Fourth Proportional to 65,408, 90,263.04 and 35,600

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Solution

The fourth proportional to 65,408, 90,263.04 and 35,600 is: 49,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408 : 90,263.04 = 35,600 : x
  2. Step 2: Convert to fraction form
    65,408/90,263.04 = 35,600/x
  3. Step 3: Cross multiply
    65,408x = 90,263.04 × 35,600
  4. Step 4: Simplify right side
    65,408x = 3,213,364,224
  5. Step 5: Solve for x
    x = 3,213,364,224/65,408
  6. Step 6: Final answer
    x = 49,128

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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.