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Finding the Fourth Proportional to 162,085.68, 243,201.24 and 102,905.52

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Solution

The fourth proportional to 162,085.68, 243,201.24 and 102,905.52 is: 154,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,085.68 : 243,201.24 = 102,905.52 : x
  2. Step 2: Convert to fraction form
    162,085.68/243,201.24 = 102,905.52/x
  3. Step 3: Cross multiply
    162,085.68x = 243,201.24 × 102,905.52
  4. Step 4: Simplify right side
    162,085.68x = 25,026,750,066.84
  5. Step 5: Solve for x
    x = 25,026,750,066.84/162,085.68
  6. Step 6: Final answer
    x = 154,404.45

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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.