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Finding the Fourth Proportional to 198,264.80, 297,416.64 and 65,139.68

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Solution

The fourth proportional to 198,264.80, 297,416.64 and 65,139.68 is: 97,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,264.80 : 297,416.64 = 65,139.68 : x
  2. Step 2: Convert to fraction form
    198,264.80/297,416.64 = 65,139.68/x
  3. Step 3: Cross multiply
    198,264.80x = 297,416.64 × 65,139.68
  4. Step 4: Simplify right side
    198,264.80x = 19,373,624,756.28
  5. Step 5: Solve for x
    x = 19,373,624,756.28/198,264.80
  6. Step 6: Final answer
    x = 97,715.91

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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.