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Finding the Fourth Proportional to 252,543.29, 378,688.16 and 84,004.16

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Solution

The fourth proportional to 252,543.29, 378,688.16 and 84,004.16 is: 125,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,543.29 : 378,688.16 = 84,004.16 : x
  2. Step 2: Convert to fraction form
    252,543.29/378,688.16 = 84,004.16/x
  3. Step 3: Cross multiply
    252,543.29x = 378,688.16 × 84,004.16
  4. Step 4: Simplify right side
    252,543.29x = 31,811,379,099.32
  5. Step 5: Solve for x
    x = 31,811,379,099.32/252,543.29
  6. Step 6: Final answer
    x = 125,964.07

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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.