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Finding the Fourth Proportional to 157,296, 217,068.48 and 90,249.60

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Solution

The fourth proportional to 157,296, 217,068.48 and 90,249.60 is: 124,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,296 : 217,068.48 = 90,249.60 : x
  2. Step 2: Convert to fraction form
    157,296/217,068.48 = 90,249.60/x
  3. Step 3: Cross multiply
    157,296x = 217,068.48 × 90,249.60
  4. Step 4: Simplify right side
    157,296x = 19,590,343,492.61
  5. Step 5: Solve for x
    x = 19,590,343,492.61/157,296
  6. Step 6: Final answer
    x = 124,544.45

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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.