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Finding the Fourth Proportional to 93,224, 128,701.32 and 71,378.96

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Solution

The fourth proportional to 93,224, 128,701.32 and 71,378.96 is: 98,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,224 : 128,701.32 = 71,378.96 : x
  2. Step 2: Convert to fraction form
    93,224/128,701.32 = 71,378.96/x
  3. Step 3: Cross multiply
    93,224x = 128,701.32 × 71,378.96
  4. Step 4: Simplify right side
    93,224x = 9,186,566,372.23
  5. Step 5: Solve for x
    x = 9,186,566,372.23/93,224
  6. Step 6: Final answer
    x = 98,542.93

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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.