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Finding the Fourth Proportional to 152,047, 209,818.26 and 83,135.20

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Solution

The fourth proportional to 152,047, 209,818.26 and 83,135.20 is: 114,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047 : 209,818.26 = 83,135.20 : x
  2. Step 2: Convert to fraction form
    152,047/209,818.26 = 83,135.20/x
  3. Step 3: Cross multiply
    152,047x = 209,818.26 × 83,135.20
  4. Step 4: Simplify right side
    152,047x = 17,443,283,008.75
  5. Step 5: Solve for x
    x = 17,443,283,008.75/152,047
  6. Step 6: Final answer
    x = 114,722.97

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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.