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Finding the Fourth Proportional to 157,722.26, 217,656.51 and 101,133.50

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Solution

The fourth proportional to 157,722.26, 217,656.51 and 101,133.50 is: 139,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722.26 : 217,656.51 = 101,133.50 : x
  2. Step 2: Convert to fraction form
    157,722.26/217,656.51 = 101,133.50/x
  3. Step 3: Cross multiply
    157,722.26x = 217,656.51 × 101,133.50
  4. Step 4: Simplify right side
    157,722.26x = 22,012,364,654.09
  5. Step 5: Solve for x
    x = 22,012,364,654.09/157,722.26
  6. Step 6: Final answer
    x = 139,564.10

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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.