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Finding the Fourth Proportional to 201,920.32, 302,492.28 and 112,903.84

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Solution

The fourth proportional to 201,920.32, 302,492.28 and 112,903.84 is: 169,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.32 : 302,492.28 = 112,903.84 : x
  2. Step 2: Convert to fraction form
    201,920.32/302,492.28 = 112,903.84/x
  3. Step 3: Cross multiply
    201,920.32x = 302,492.28 × 112,903.84
  4. Step 4: Simplify right side
    201,920.32x = 34,152,539,982.36
  5. Step 5: Solve for x
    x = 34,152,539,982.36/201,920.32
  6. Step 6: Final answer
    x = 169,138.70

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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.