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Finding the Fourth Proportional to 109,721.64, 151,412.76 and 65,009.64

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Solution

The fourth proportional to 109,721.64, 151,412.76 and 65,009.64 is: 89,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721.64 : 151,412.76 = 65,009.64 : x
  2. Step 2: Convert to fraction form
    109,721.64/151,412.76 = 65,009.64/x
  3. Step 3: Cross multiply
    109,721.64x = 151,412.76 × 65,009.64
  4. Step 4: Simplify right side
    109,721.64x = 9,843,289,019.01
  5. Step 5: Solve for x
    x = 9,843,289,019.01/109,721.64
  6. Step 6: Final answer
    x = 89,711.46

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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.