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Finding the Fourth Proportional to 157,275, 217,048.14 and 90,211.32

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Solution

The fourth proportional to 157,275, 217,048.14 and 90,211.32 is: 124,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,275 : 217,048.14 = 90,211.32 : x
  2. Step 2: Convert to fraction form
    157,275/217,048.14 = 90,211.32/x
  3. Step 3: Cross multiply
    157,275x = 217,048.14 × 90,211.32
  4. Step 4: Simplify right side
    157,275x = 19,580,199,212.94
  5. Step 5: Solve for x
    x = 19,580,199,212.94/157,275
  6. Step 6: Final answer
    x = 124,496.58

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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.