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Finding the Fourth Proportional to 102,072.96, 153,060.84 and 38,896.20

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Solution

The fourth proportional to 102,072.96, 153,060.84 and 38,896.20 is: 58,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.96 : 153,060.84 = 38,896.20 : x
  2. Step 2: Convert to fraction form
    102,072.96/153,060.84 = 38,896.20/x
  3. Step 3: Cross multiply
    102,072.96x = 153,060.84 × 38,896.20
  4. Step 4: Simplify right side
    102,072.96x = 5,953,485,044.81
  5. Step 5: Solve for x
    x = 5,953,485,044.81/102,072.96
  6. Step 6: Final answer
    x = 58,325.78

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1.5x scale

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.