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Finding the Fourth Proportional to 65,834.40, 98,665.20 and 47,344.80

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Solution

The fourth proportional to 65,834.40, 98,665.20 and 47,344.80 is: 70,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.40 : 98,665.20 = 47,344.80 : x
  2. Step 2: Convert to fraction form
    65,834.40/98,665.20 = 47,344.80/x
  3. Step 3: Cross multiply
    65,834.40x = 98,665.20 × 47,344.80
  4. Step 4: Simplify right side
    65,834.40x = 4,671,284,160.96
  5. Step 5: Solve for x
    x = 4,671,284,160.96/65,834.40
  6. Step 6: Final answer
    x = 70,955.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.