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Finding the Fourth Proportional to 65,509.71, 90,403.70 and 37,216.95

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Solution

The fourth proportional to 65,509.71, 90,403.70 and 37,216.95 is: 51,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.71 : 90,403.70 = 37,216.95 : x
  2. Step 2: Convert to fraction form
    65,509.71/90,403.70 = 37,216.95/x
  3. Step 3: Cross multiply
    65,509.71x = 90,403.70 × 37,216.95
  4. Step 4: Simplify right side
    65,509.71x = 3,364,549,982.72
  5. Step 5: Solve for x
    x = 3,364,549,982.72/65,509.71
  6. Step 6: Final answer
    x = 51,359.56

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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.