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Finding the Fourth Proportional to 157,764, 217,715.28 and 90,696.48

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Solution

The fourth proportional to 157,764, 217,715.28 and 90,696.48 is: 125,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764 : 217,715.28 = 90,696.48 : x
  2. Step 2: Convert to fraction form
    157,764/217,715.28 = 90,696.48/x
  3. Step 3: Cross multiply
    157,764x = 217,715.28 × 90,696.48
  4. Step 4: Simplify right side
    157,764x = 19,746,009,538.21
  5. Step 5: Solve for x
    x = 19,746,009,538.21/157,764
  6. Step 6: Final answer
    x = 125,161.69

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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.