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Finding the Fourth Proportional to 657,975.48, 986,968.98 and 159,339.96

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Solution

The fourth proportional to 657,975.48, 986,968.98 and 159,339.96 is: 239,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,975.48 : 986,968.98 = 159,339.96 : x
  2. Step 2: Convert to fraction form
    657,975.48/986,968.98 = 159,339.96/x
  3. Step 3: Cross multiply
    657,975.48x = 986,968.98 × 159,339.96
  4. Step 4: Simplify right side
    657,975.48x = 157,263,597,794.44
  5. Step 5: Solve for x
    x = 157,263,597,794.44/657,975.48
  6. Step 6: Final answer
    x = 239,011.33

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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.