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Finding the Fourth Proportional to 201,918.32, 302,489.28 and 112,901.84

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Solution

The fourth proportional to 201,918.32, 302,489.28 and 112,901.84 is: 169,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918.32 : 302,489.28 = 112,901.84 : x
  2. Step 2: Convert to fraction form
    201,918.32/302,489.28 = 112,901.84/x
  3. Step 3: Cross multiply
    201,918.32x = 302,489.28 × 112,901.84
  4. Step 4: Simplify right side
    201,918.32x = 34,151,596,292.28
  5. Step 5: Solve for x
    x = 34,151,596,292.28/201,918.32
  6. Step 6: Final answer
    x = 169,135.70

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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.