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Finding the Fourth Proportional to 65,937, 90,993.06 and 36,128.36

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Solution

The fourth proportional to 65,937, 90,993.06 and 36,128.36 is: 49,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,937 : 90,993.06 = 36,128.36 : x
  2. Step 2: Convert to fraction form
    65,937/90,993.06 = 36,128.36/x
  3. Step 3: Cross multiply
    65,937x = 90,993.06 × 36,128.36
  4. Step 4: Simplify right side
    65,937x = 3,287,430,029.18
  5. Step 5: Solve for x
    x = 3,287,430,029.18/65,937
  6. Step 6: Final answer
    x = 49,857.14

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1.5x scale

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.