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Finding the Fourth Proportional to 65,390, 90,240.12 and 35,583.92

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Solution

The fourth proportional to 65,390, 90,240.12 and 35,583.92 is: 49,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390 : 90,240.12 = 35,583.92 : x
  2. Step 2: Convert to fraction form
    65,390/90,240.12 = 35,583.92/x
  3. Step 3: Cross multiply
    65,390x = 90,240.12 × 35,583.92
  4. Step 4: Simplify right side
    65,390x = 3,211,097,210.87
  5. Step 5: Solve for x
    x = 3,211,097,210.87/65,390
  6. Step 6: Final answer
    x = 49,106.85

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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.