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Finding the Fourth Proportional to 157,227.51, 216,971.79 and 85,607.54

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Solution

The fourth proportional to 157,227.51, 216,971.79 and 85,607.54 is: 118,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,227.51 : 216,971.79 = 85,607.54 : x
  2. Step 2: Convert to fraction form
    157,227.51/216,971.79 = 85,607.54/x
  3. Step 3: Cross multiply
    157,227.51x = 216,971.79 × 85,607.54
  4. Step 4: Simplify right side
    157,227.51x = 18,574,420,106.44
  5. Step 5: Solve for x
    x = 18,574,420,106.44/157,227.51
  6. Step 6: Final answer
    x = 118,137.21

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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.