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Finding the Fourth Proportional to 117,143.34, 161,657.90 and 63,428.40

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Solution

The fourth proportional to 117,143.34, 161,657.90 and 63,428.40 is: 87,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,143.34 : 161,657.90 = 63,428.40 : x
  2. Step 2: Convert to fraction form
    117,143.34/161,657.90 = 63,428.40/x
  3. Step 3: Cross multiply
    117,143.34x = 161,657.90 × 63,428.40
  4. Step 4: Simplify right side
    117,143.34x = 10,253,701,944.36
  5. Step 5: Solve for x
    x = 10,253,701,944.36/117,143.34
  6. Step 6: Final answer
    x = 87,531.24

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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.