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Finding the Fourth Proportional to 46,978.44, 70,468.80 and 11,920.80

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Solution

The fourth proportional to 46,978.44, 70,468.80 and 11,920.80 is: 17,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.44 : 70,468.80 = 11,920.80 : x
  2. Step 2: Convert to fraction form
    46,978.44/70,468.80 = 11,920.80/x
  3. Step 3: Cross multiply
    46,978.44x = 70,468.80 × 11,920.80
  4. Step 4: Simplify right side
    46,978.44x = 840,044,471.04
  5. Step 5: Solve for x
    x = 840,044,471.04/46,978.44
  6. Step 6: Final answer
    x = 17,881.49

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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.