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Finding the Fourth Proportional to 198,154.80, 297,275.40 and 65,012.40

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Solution

The fourth proportional to 198,154.80, 297,275.40 and 65,012.40 is: 97,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,154.80 : 297,275.40 = 65,012.40 : x
  2. Step 2: Convert to fraction form
    198,154.80/297,275.40 = 65,012.40/x
  3. Step 3: Cross multiply
    198,154.80x = 297,275.40 × 65,012.40
  4. Step 4: Simplify right side
    198,154.80x = 19,326,587,214.96
  5. Step 5: Solve for x
    x = 19,326,587,214.96/198,154.80
  6. Step 6: Final answer
    x = 97,532.77

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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.