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Finding the Fourth Proportional to 202,038.84, 302,951.46 and 89,670.20

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Solution

The fourth proportional to 202,038.84, 302,951.46 and 89,670.20 is: 134,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.84 : 302,951.46 = 89,670.20 : x
  2. Step 2: Convert to fraction form
    202,038.84/302,951.46 = 89,670.20/x
  3. Step 3: Cross multiply
    202,038.84x = 302,951.46 × 89,670.20
  4. Step 4: Simplify right side
    202,038.84x = 27,165,718,008.49
  5. Step 5: Solve for x
    x = 27,165,718,008.49/202,038.84
  6. Step 6: Final answer
    x = 134,457.90

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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.