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Finding the Fourth Proportional to 202,001.40, 302,742.90 and 155,021.40

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Solution

The fourth proportional to 202,001.40, 302,742.90 and 155,021.40 is: 232,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.40 : 302,742.90 = 155,021.40 : x
  2. Step 2: Convert to fraction form
    202,001.40/302,742.90 = 155,021.40/x
  3. Step 3: Cross multiply
    202,001.40x = 302,742.90 × 155,021.40
  4. Step 4: Simplify right side
    202,001.40x = 46,931,628,198.06
  5. Step 5: Solve for x
    x = 46,931,628,198.06/202,001.40
  6. Step 6: Final answer
    x = 232,333.18

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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.