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Finding the Fourth Proportional to 260,988.31, 360,157.87 and 152,085.71

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Solution

The fourth proportional to 260,988.31, 360,157.87 and 152,085.71 is: 209,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,988.31 : 360,157.87 = 152,085.71 : x
  2. Step 2: Convert to fraction form
    260,988.31/360,157.87 = 152,085.71/x
  3. Step 3: Cross multiply
    260,988.31x = 360,157.87 × 152,085.71
  4. Step 4: Simplify right side
    260,988.31x = 54,774,866,461.54
  5. Step 5: Solve for x
    x = 54,774,866,461.54/260,988.31
  6. Step 6: Final answer
    x = 209,874.79

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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.