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Finding the Fourth Proportional to 198,592.65, 274,056.74 and 112,567.89

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Solution

The fourth proportional to 198,592.65, 274,056.74 and 112,567.89 is: 155,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.65 : 274,056.74 = 112,567.89 : x
  2. Step 2: Convert to fraction form
    198,592.65/274,056.74 = 112,567.89/x
  3. Step 3: Cross multiply
    198,592.65x = 274,056.74 × 112,567.89
  4. Step 4: Simplify right side
    198,592.65x = 30,849,988,399.24
  5. Step 5: Solve for x
    x = 30,849,988,399.24/198,592.65
  6. Step 6: Final answer
    x = 155,343.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.