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Finding the Fourth Proportional to 157,459.21, 217,285.86 and 89,467.21

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Solution

The fourth proportional to 157,459.21, 217,285.86 and 89,467.21 is: 123,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,459.21 : 217,285.86 = 89,467.21 : x
  2. Step 2: Convert to fraction form
    157,459.21/217,285.86 = 89,467.21/x
  3. Step 3: Cross multiply
    157,459.21x = 217,285.86 × 89,467.21
  4. Step 4: Simplify right side
    157,459.21x = 19,439,959,666.65
  5. Step 5: Solve for x
    x = 19,439,959,666.65/157,459.21
  6. Step 6: Final answer
    x = 123,460.29

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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.