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Finding the Fourth Proportional to 147,901.21, 221,851.81 and 135,070.81

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Solution

The fourth proportional to 147,901.21, 221,851.81 and 135,070.81 is: 202,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901.21 : 221,851.81 = 135,070.81 : x
  2. Step 2: Convert to fraction form
    147,901.21/221,851.81 = 135,070.81/x
  3. Step 3: Cross multiply
    147,901.21x = 221,851.81 × 135,070.81
  4. Step 4: Simplify right side
    147,901.21x = 29,965,703,290.88
  5. Step 5: Solve for x
    x = 29,965,703,290.88/147,901.21
  6. Step 6: Final answer
    x = 202,606.21

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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.