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Finding the Fourth Proportional to 228,786, 315,724.68 and 139,362

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Solution

The fourth proportional to 228,786, 315,724.68 and 139,362 is: 192,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,786 : 315,724.68 = 139,362 : x
  2. Step 2: Convert to fraction form
    228,786/315,724.68 = 139,362/x
  3. Step 3: Cross multiply
    228,786x = 315,724.68 × 139,362
  4. Step 4: Simplify right side
    228,786x = 44,000,022,854.16
  5. Step 5: Solve for x
    x = 44,000,022,854.16/228,786
  6. Step 6: Final answer
    x = 192,319.56

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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.