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Finding the Fourth Proportional to 228,971.06, 315,689.70 and 163,637.96

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Solution

The fourth proportional to 228,971.06, 315,689.70 and 163,637.96 is: 225,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971.06 : 315,689.70 = 163,637.96 : x
  2. Step 2: Convert to fraction form
    228,971.06/315,689.70 = 163,637.96/x
  3. Step 3: Cross multiply
    228,971.06x = 315,689.70 × 163,637.96
  4. Step 4: Simplify right side
    228,971.06x = 51,658,818,501.01
  5. Step 5: Solve for x
    x = 51,658,818,501.01/228,971.06
  6. Step 6: Final answer
    x = 225,612.87

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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.