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Finding the Fourth Proportional to 93,280.38, 128,723.16 and 50,838

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Solution

The fourth proportional to 93,280.38, 128,723.16 and 50,838 is: 70,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,280.38 : 128,723.16 = 50,838 : x
  2. Step 2: Convert to fraction form
    93,280.38/128,723.16 = 50,838/x
  3. Step 3: Cross multiply
    93,280.38x = 128,723.16 × 50,838
  4. Step 4: Simplify right side
    93,280.38x = 6,544,028,008.08
  5. Step 5: Solve for x
    x = 6,544,028,008.08/93,280.38
  6. Step 6: Final answer
    x = 70,154.39

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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.