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Finding the Fourth Proportional to 101,989.68, 153,000.93 and 42,842.27

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Solution

The fourth proportional to 101,989.68, 153,000.93 and 42,842.27 is: 64,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989.68 : 153,000.93 = 42,842.27 : x
  2. Step 2: Convert to fraction form
    101,989.68/153,000.93 = 42,842.27/x
  3. Step 3: Cross multiply
    101,989.68x = 153,000.93 × 42,842.27
  4. Step 4: Simplify right side
    101,989.68x = 6,554,906,474.36
  5. Step 5: Solve for x
    x = 6,554,906,474.36/101,989.68
  6. Step 6: Final answer
    x = 64,270.29

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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.