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Finding the Fourth Proportional to 228,735.92, 342,971.15 and 86,592.17

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Solution

The fourth proportional to 228,735.92, 342,971.15 and 86,592.17 is: 129,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,735.92 : 342,971.15 = 86,592.17 : x
  2. Step 2: Convert to fraction form
    228,735.92/342,971.15 = 86,592.17/x
  3. Step 3: Cross multiply
    228,735.92x = 342,971.15 × 86,592.17
  4. Step 4: Simplify right side
    228,735.92x = 29,698,616,550.36
  5. Step 5: Solve for x
    x = 29,698,616,550.36/228,735.92
  6. Step 6: Final answer
    x = 129,838.01

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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.