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Finding the Fourth Proportional to 93,888, 140,832 and 31,558.50

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Solution

The fourth proportional to 93,888, 140,832 and 31,558.50 is: 47,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,888 : 140,832 = 31,558.50 : x
  2. Step 2: Convert to fraction form
    93,888/140,832 = 31,558.50/x
  3. Step 3: Cross multiply
    93,888x = 140,832 × 31,558.50
  4. Step 4: Simplify right side
    93,888x = 4,444,446,672
  5. Step 5: Solve for x
    x = 4,444,446,672/93,888
  6. Step 6: Final answer
    x = 47,337.75

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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.