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Finding the Fourth Proportional to 198,587.88, 297,784.80 and 70,460.76

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Solution

The fourth proportional to 198,587.88, 297,784.80 and 70,460.76 is: 105,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,587.88 : 297,784.80 = 70,460.76 : x
  2. Step 2: Convert to fraction form
    198,587.88/297,784.80 = 70,460.76/x
  3. Step 3: Cross multiply
    198,587.88x = 297,784.80 × 70,460.76
  4. Step 4: Simplify right side
    198,587.88x = 20,982,143,324.45
  5. Step 5: Solve for x
    x = 20,982,143,324.45/198,587.88
  6. Step 6: Final answer
    x = 105,656.72

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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.