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Finding the Fourth Proportional to 58,120, 87,192.96 and 21,184

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Solution

The fourth proportional to 58,120, 87,192.96 and 21,184 is: 31,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,120 : 87,192.96 = 21,184 : x
  2. Step 2: Convert to fraction form
    58,120/87,192.96 = 21,184/x
  3. Step 3: Cross multiply
    58,120x = 87,192.96 × 21,184
  4. Step 4: Simplify right side
    58,120x = 1,847,095,664.64
  5. Step 5: Solve for x
    x = 1,847,095,664.64/58,120
  6. Step 6: Final answer
    x = 31,780.72

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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.