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Finding the Fourth Proportional to 252,384.70, 378,495.15 and 83,859.77

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Solution

The fourth proportional to 252,384.70, 378,495.15 and 83,859.77 is: 125,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384.70 : 378,495.15 = 83,859.77 : x
  2. Step 2: Convert to fraction form
    252,384.70/378,495.15 = 83,859.77/x
  3. Step 3: Cross multiply
    252,384.70x = 378,495.15 × 83,859.77
  4. Step 4: Simplify right side
    252,384.70x = 31,740,517,832.16
  5. Step 5: Solve for x
    x = 31,740,517,832.16/252,384.70
  6. Step 6: Final answer
    x = 125,762.45

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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.