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Finding the Fourth Proportional to 201,502.60, 302,448.30 and 101,775.40

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Solution

The fourth proportional to 201,502.60, 302,448.30 and 101,775.40 is: 152,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.60 : 302,448.30 = 101,775.40 : x
  2. Step 2: Convert to fraction form
    201,502.60/302,448.30 = 101,775.40/x
  3. Step 3: Cross multiply
    201,502.60x = 302,448.30 × 101,775.40
  4. Step 4: Simplify right side
    201,502.60x = 30,781,796,711.82
  5. Step 5: Solve for x
    x = 30,781,796,711.82/201,502.60
  6. Step 6: Final answer
    x = 152,761.29

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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.