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Finding the Fourth Proportional to 93,989.46, 140,990.64 and 37,830

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Solution

The fourth proportional to 93,989.46, 140,990.64 and 37,830 is: 56,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,989.46 : 140,990.64 = 37,830 : x
  2. Step 2: Convert to fraction form
    93,989.46/140,990.64 = 37,830/x
  3. Step 3: Cross multiply
    93,989.46x = 140,990.64 × 37,830
  4. Step 4: Simplify right side
    93,989.46x = 5,333,675,911.20
  5. Step 5: Solve for x
    x = 5,333,675,911.20/93,989.46
  6. Step 6: Final answer
    x = 56,747.60

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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.