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Finding the Fourth Proportional to 74,508.65, 102,824.64 and 42,683.70

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Solution

The fourth proportional to 74,508.65, 102,824.64 and 42,683.70 is: 58,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,508.65 : 102,824.64 = 42,683.70 : x
  2. Step 2: Convert to fraction form
    74,508.65/102,824.64 = 42,683.70/x
  3. Step 3: Cross multiply
    74,508.65x = 102,824.64 × 42,683.70
  4. Step 4: Simplify right side
    74,508.65x = 4,388,935,358.83
  5. Step 5: Solve for x
    x = 4,388,935,358.83/74,508.65
  6. Step 6: Final answer
    x = 58,905.05

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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.