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Finding the Fourth Proportional to 160,817.68, 221,783.16 and 100,393.93

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Solution

The fourth proportional to 160,817.68, 221,783.16 and 100,393.93 is: 138,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,817.68 : 221,783.16 = 100,393.93 : x
  2. Step 2: Convert to fraction form
    160,817.68/221,783.16 = 100,393.93/x
  3. Step 3: Cross multiply
    160,817.68x = 221,783.16 × 100,393.93
  4. Step 4: Simplify right side
    160,817.68x = 22,265,683,040.22
  5. Step 5: Solve for x
    x = 22,265,683,040.22/160,817.68
  6. Step 6: Final answer
    x = 138,452.96

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1.5x scale

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.