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Finding the Fourth Proportional to 157,511.78, 217,462.62 and 97,164.89

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Solution

The fourth proportional to 157,511.78, 217,462.62 and 97,164.89 is: 134,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,511.78 : 217,462.62 = 97,164.89 : x
  2. Step 2: Convert to fraction form
    157,511.78/217,462.62 = 97,164.89/x
  3. Step 3: Cross multiply
    157,511.78x = 217,462.62 × 97,164.89
  4. Step 4: Simplify right side
    157,511.78x = 21,129,731,551.41
  5. Step 5: Solve for x
    x = 21,129,731,551.41/157,511.78
  6. Step 6: Final answer
    x = 134,146.99

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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.