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Finding the Fourth Proportional to 160,762.43, 221,724.15 and 103,408.31

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Solution

The fourth proportional to 160,762.43, 221,724.15 and 103,408.31 is: 142,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,762.43 : 221,724.15 = 103,408.31 : x
  2. Step 2: Convert to fraction form
    160,762.43/221,724.15 = 103,408.31/x
  3. Step 3: Cross multiply
    160,762.43x = 221,724.15 × 103,408.31
  4. Step 4: Simplify right side
    160,762.43x = 22,928,119,637.69
  5. Step 5: Solve for x
    x = 22,928,119,637.69/160,762.43
  6. Step 6: Final answer
    x = 142,621.13

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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.