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Finding the Fourth Proportional to 157,122, 216,828.36 and 90,054

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Solution

The fourth proportional to 157,122, 216,828.36 and 90,054 is: 124,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122 : 216,828.36 = 90,054 : x
  2. Step 2: Convert to fraction form
    157,122/216,828.36 = 90,054/x
  3. Step 3: Cross multiply
    157,122x = 216,828.36 × 90,054
  4. Step 4: Simplify right side
    157,122x = 19,526,261,131.44
  5. Step 5: Solve for x
    x = 19,526,261,131.44/157,122
  6. Step 6: Final answer
    x = 124,274.52

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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.