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Finding the Fourth Proportional to 105,092.80, 157,658.40 and 42,769.60

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Solution

The fourth proportional to 105,092.80, 157,658.40 and 42,769.60 is: 64,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.80 : 157,658.40 = 42,769.60 : x
  2. Step 2: Convert to fraction form
    105,092.80/157,658.40 = 42,769.60/x
  3. Step 3: Cross multiply
    105,092.80x = 157,658.40 × 42,769.60
  4. Step 4: Simplify right side
    105,092.80x = 6,742,986,704.64
  5. Step 5: Solve for x
    x = 6,742,986,704.64/105,092.80
  6. Step 6: Final answer
    x = 64,162.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.