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Finding the Fourth Proportional to 76,884.48, 115,345.92 and 21,480

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Solution

The fourth proportional to 76,884.48, 115,345.92 and 21,480 is: 32,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884.48 : 115,345.92 = 21,480 : x
  2. Step 2: Convert to fraction form
    76,884.48/115,345.92 = 21,480/x
  3. Step 3: Cross multiply
    76,884.48x = 115,345.92 × 21,480
  4. Step 4: Simplify right side
    76,884.48x = 2,477,630,361.60
  5. Step 5: Solve for x
    x = 2,477,630,361.60/76,884.48
  6. Step 6: Final answer
    x = 32,225.36

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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.