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Finding the Fourth Proportional to 93,047.84, 128,439.42 and 55,322

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Solution

The fourth proportional to 93,047.84, 128,439.42 and 55,322 is: 76,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,047.84 : 128,439.42 = 55,322 : x
  2. Step 2: Convert to fraction form
    93,047.84/128,439.42 = 55,322/x
  3. Step 3: Cross multiply
    93,047.84x = 128,439.42 × 55,322
  4. Step 4: Simplify right side
    93,047.84x = 7,105,525,593.24
  5. Step 5: Solve for x
    x = 7,105,525,593.24/93,047.84
  6. Step 6: Final answer
    x = 76,364.22

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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.