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Finding the Fourth Proportional to 93,871.52, 140,471.76 and 81,536.88

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Solution

The fourth proportional to 93,871.52, 140,471.76 and 81,536.88 is: 122,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,871.52 : 140,471.76 = 81,536.88 : x
  2. Step 2: Convert to fraction form
    93,871.52/140,471.76 = 81,536.88/x
  3. Step 3: Cross multiply
    93,871.52x = 140,471.76 × 81,536.88
  4. Step 4: Simplify right side
    93,871.52x = 11,453,629,038.51
  5. Step 5: Solve for x
    x = 11,453,629,038.51/93,871.52
  6. Step 6: Final answer
    x = 122,013.89

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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.