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Finding the Fourth Proportional to 65,088.66, 89,823 and 38,239.80

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Solution

The fourth proportional to 65,088.66, 89,823 and 38,239.80 is: 52,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088.66 : 89,823 = 38,239.80 : x
  2. Step 2: Convert to fraction form
    65,088.66/89,823 = 38,239.80/x
  3. Step 3: Cross multiply
    65,088.66x = 89,823 × 38,239.80
  4. Step 4: Simplify right side
    65,088.66x = 3,434,813,555.40
  5. Step 5: Solve for x
    x = 3,434,813,555.40/65,088.66
  6. Step 6: Final answer
    x = 52,771.31

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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.