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Finding the Fourth Proportional to 157,458.21, 217,284.48 and 89,466.21

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Solution

The fourth proportional to 157,458.21, 217,284.48 and 89,466.21 is: 123,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,458.21 : 217,284.48 = 89,466.21 : x
  2. Step 2: Convert to fraction form
    157,458.21/217,284.48 = 89,466.21/x
  3. Step 3: Cross multiply
    157,458.21x = 217,284.48 × 89,466.21
  4. Step 4: Simplify right side
    157,458.21x = 19,439,618,917.42
  5. Step 5: Solve for x
    x = 19,439,618,917.42/157,458.21
  6. Step 6: Final answer
    x = 123,458.91

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1.5x scale

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.