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Finding the Fourth Proportional to 157,478.31, 236,168.96 and 45,128.37

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Solution

The fourth proportional to 157,478.31, 236,168.96 and 45,128.37 is: 67,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,478.31 : 236,168.96 = 45,128.37 : x
  2. Step 2: Convert to fraction form
    157,478.31/236,168.96 = 45,128.37/x
  3. Step 3: Cross multiply
    157,478.31x = 236,168.96 × 45,128.37
  4. Step 4: Simplify right side
    157,478.31x = 10,657,919,983.75
  5. Step 5: Solve for x
    x = 10,657,919,983.75/157,478.31
  6. Step 6: Final answer
    x = 67,678.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.