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Finding the Fourth Proportional to 157,097.21, 216,796.37 and 85,477.28

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Solution

The fourth proportional to 157,097.21, 216,796.37 and 85,477.28 is: 117,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097.21 : 216,796.37 = 85,477.28 : x
  2. Step 2: Convert to fraction form
    157,097.21/216,796.37 = 85,477.28/x
  3. Step 3: Cross multiply
    157,097.21x = 216,796.37 × 85,477.28
  4. Step 4: Simplify right side
    157,097.21x = 18,531,162,510.11
  5. Step 5: Solve for x
    x = 18,531,162,510.11/157,097.21
  6. Step 6: Final answer
    x = 117,959.85

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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.