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Finding the Fourth Proportional to 201,740.90, 302,757.15 and 112,900.10

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Solution

The fourth proportional to 201,740.90, 302,757.15 and 112,900.10 is: 169,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740.90 : 302,757.15 = 112,900.10 : x
  2. Step 2: Convert to fraction form
    201,740.90/302,757.15 = 112,900.10/x
  3. Step 3: Cross multiply
    201,740.90x = 302,757.15 × 112,900.10
  4. Step 4: Simplify right side
    201,740.90x = 34,181,312,510.72
  5. Step 5: Solve for x
    x = 34,181,312,510.72/201,740.90
  6. Step 6: Final answer
    x = 169,431.74

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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.