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Finding the Fourth Proportional to 145,178.77, 217,769.24 and 40,003.51

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Solution

The fourth proportional to 145,178.77, 217,769.24 and 40,003.51 is: 60,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,178.77 : 217,769.24 = 40,003.51 : x
  2. Step 2: Convert to fraction form
    145,178.77/217,769.24 = 40,003.51/x
  3. Step 3: Cross multiply
    145,178.77x = 217,769.24 × 40,003.51
  4. Step 4: Simplify right side
    145,178.77x = 8,711,533,970.03
  5. Step 5: Solve for x
    x = 8,711,533,970.03/145,178.77
  6. Step 6: Final answer
    x = 60,005.56

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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.