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Finding the Fourth Proportional to 64,655.65, 96,979.44 and 30,945.61

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Solution

The fourth proportional to 64,655.65, 96,979.44 and 30,945.61 is: 46,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,655.65 : 96,979.44 = 30,945.61 : x
  2. Step 2: Convert to fraction form
    64,655.65/96,979.44 = 30,945.61/x
  3. Step 3: Cross multiply
    64,655.65x = 96,979.44 × 30,945.61
  4. Step 4: Simplify right side
    64,655.65x = 3,001,087,685.81
  5. Step 5: Solve for x
    x = 3,001,087,685.81/64,655.65
  6. Step 6: Final answer
    x = 46,416.48

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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.