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Finding the Fourth Proportional to 65,914.87, 90,970.51 and 37,235.74

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Solution

The fourth proportional to 65,914.87, 90,970.51 and 37,235.74 is: 51,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.87 : 90,970.51 = 37,235.74 : x
  2. Step 2: Convert to fraction form
    65,914.87/90,970.51 = 37,235.74/x
  3. Step 3: Cross multiply
    65,914.87x = 90,970.51 × 37,235.74
  4. Step 4: Simplify right side
    65,914.87x = 3,387,354,258.03
  5. Step 5: Solve for x
    x = 3,387,354,258.03/65,914.87
  6. Step 6: Final answer
    x = 51,389.83

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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.