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Finding the Fourth Proportional to 202,039.84, 302,952.96 and 89,671.20

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Solution

The fourth proportional to 202,039.84, 302,952.96 and 89,671.20 is: 134,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,039.84 : 302,952.96 = 89,671.20 : x
  2. Step 2: Convert to fraction form
    202,039.84/302,952.96 = 89,671.20/x
  3. Step 3: Cross multiply
    202,039.84x = 302,952.96 × 89,671.20
  4. Step 4: Simplify right side
    202,039.84x = 27,166,155,466.75
  5. Step 5: Solve for x
    x = 27,166,155,466.75/202,039.84
  6. Step 6: Final answer
    x = 134,459.40

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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.