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Finding the Fourth Proportional to 157,984.56, 218,018.49 and 85,387.37

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Solution

The fourth proportional to 157,984.56, 218,018.49 and 85,387.37 is: 117,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,984.56 : 218,018.49 = 85,387.37 : x
  2. Step 2: Convert to fraction form
    157,984.56/218,018.49 = 85,387.37/x
  3. Step 3: Cross multiply
    157,984.56x = 218,018.49 × 85,387.37
  4. Step 4: Simplify right side
    157,984.56x = 18,616,024,062.18
  5. Step 5: Solve for x
    x = 18,616,024,062.18/157,984.56
  6. Step 6: Final answer
    x = 117,834.45

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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.