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Finding the Fourth Proportional to 64,645.47, 96,968.16 and 20,275.65

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Solution

The fourth proportional to 64,645.47, 96,968.16 and 20,275.65 is: 30,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,645.47 : 96,968.16 = 20,275.65 : x
  2. Step 2: Convert to fraction form
    64,645.47/96,968.16 = 20,275.65/x
  3. Step 3: Cross multiply
    64,645.47x = 96,968.16 × 20,275.65
  4. Step 4: Simplify right side
    64,645.47x = 1,966,092,473.30
  5. Step 5: Solve for x
    x = 1,966,092,473.30/64,645.47
  6. Step 6: Final answer
    x = 30,413.46

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1.5x scale

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.