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Finding the Fourth Proportional to 102,570.70, 153,942.45 and 40,285.90

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Solution

The fourth proportional to 102,570.70, 153,942.45 and 40,285.90 is: 60,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570.70 : 153,942.45 = 40,285.90 : x
  2. Step 2: Convert to fraction form
    102,570.70/153,942.45 = 40,285.90/x
  3. Step 3: Cross multiply
    102,570.70x = 153,942.45 × 40,285.90
  4. Step 4: Simplify right side
    102,570.70x = 6,201,710,146.46
  5. Step 5: Solve for x
    x = 6,201,710,146.46/102,570.70
  6. Step 6: Final answer
    x = 60,462.78

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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.