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Finding the Fourth Proportional to 204,109.77, 306,303.95 and 70,988.67

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Solution

The fourth proportional to 204,109.77, 306,303.95 and 70,988.67 is: 106,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,109.77 : 306,303.95 = 70,988.67 : x
  2. Step 2: Convert to fraction form
    204,109.77/306,303.95 = 70,988.67/x
  3. Step 3: Cross multiply
    204,109.77x = 306,303.95 × 70,988.67
  4. Step 4: Simplify right side
    204,109.77x = 21,744,109,671.30
  5. Step 5: Solve for x
    x = 21,744,109,671.30/204,109.77
  6. Step 6: Final answer
    x = 106,531.45

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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.