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Finding the Fourth Proportional to 74,508.70, 102,814.23 and 42,678.94

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Solution

The fourth proportional to 74,508.70, 102,814.23 and 42,678.94 is: 58,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,508.70 : 102,814.23 = 42,678.94 : x
  2. Step 2: Convert to fraction form
    74,508.70/102,814.23 = 42,678.94/x
  3. Step 3: Cross multiply
    74,508.70x = 102,814.23 × 42,678.94
  4. Step 4: Simplify right side
    74,508.70x = 4,388,002,353.32
  5. Step 5: Solve for x
    x = 4,388,002,353.32/74,508.70
  6. Step 6: Final answer
    x = 58,892.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.