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Finding the Fourth Proportional to 93,880, 140,820 and 31,550.50

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Solution

The fourth proportional to 93,880, 140,820 and 31,550.50 is: 47,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,880 : 140,820 = 31,550.50 : x
  2. Step 2: Convert to fraction form
    93,880/140,820 = 31,550.50/x
  3. Step 3: Cross multiply
    93,880x = 140,820 × 31,550.50
  4. Step 4: Simplify right side
    93,880x = 4,442,941,410
  5. Step 5: Solve for x
    x = 4,442,941,410/93,880
  6. Step 6: Final answer
    x = 47,325.75

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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.