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Finding the Fourth Proportional to 228,699.50, 315,605.31 and 139,275.50

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Solution

The fourth proportional to 228,699.50, 315,605.31 and 139,275.50 is: 192,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,699.50 : 315,605.31 = 139,275.50 : x
  2. Step 2: Convert to fraction form
    228,699.50/315,605.31 = 139,275.50/x
  3. Step 3: Cross multiply
    228,699.50x = 315,605.31 × 139,275.50
  4. Step 4: Simplify right side
    228,699.50x = 43,956,087,352.91
  5. Step 5: Solve for x
    x = 43,956,087,352.91/228,699.50
  6. Step 6: Final answer
    x = 192,200.19

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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.