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Finding the Fourth Proportional to 47,066.40, 64,976.40 and 29,152.80

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Solution

The fourth proportional to 47,066.40, 64,976.40 and 29,152.80 is: 40,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066.40 : 64,976.40 = 29,152.80 : x
  2. Step 2: Convert to fraction form
    47,066.40/64,976.40 = 29,152.80/x
  3. Step 3: Cross multiply
    47,066.40x = 64,976.40 × 29,152.80
  4. Step 4: Simplify right side
    47,066.40x = 1,894,243,993.92
  5. Step 5: Solve for x
    x = 1,894,243,993.92/47,066.40
  6. Step 6: Final answer
    x = 40,246.21

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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.