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Finding the Fourth Proportional to 160,107.76, 220,782.54 and 137,521

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Solution

The fourth proportional to 160,107.76, 220,782.54 and 137,521 is: 189,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,107.76 : 220,782.54 = 137,521 : x
  2. Step 2: Convert to fraction form
    160,107.76/220,782.54 = 137,521/x
  3. Step 3: Cross multiply
    160,107.76x = 220,782.54 × 137,521
  4. Step 4: Simplify right side
    160,107.76x = 30,362,235,683.34
  5. Step 5: Solve for x
    x = 30,362,235,683.34/160,107.76
  6. Step 6: Final answer
    x = 189,636.25

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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.