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Finding the Fourth Proportional to 198,570.42, 297,904.50 and 98,777.88

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Solution

The fourth proportional to 198,570.42, 297,904.50 and 98,777.88 is: 148,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,570.42 : 297,904.50 = 98,777.88 : x
  2. Step 2: Convert to fraction form
    198,570.42/297,904.50 = 98,777.88/x
  3. Step 3: Cross multiply
    198,570.42x = 297,904.50 × 98,777.88
  4. Step 4: Simplify right side
    198,570.42x = 29,426,374,952.46
  5. Step 5: Solve for x
    x = 29,426,374,952.46/198,570.42
  6. Step 6: Final answer
    x = 148,191.13

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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.