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Finding the Fourth Proportional to 58,412.80, 87,640.80 and 18,971.20

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Solution

The fourth proportional to 58,412.80, 87,640.80 and 18,971.20 is: 28,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,412.80 : 87,640.80 = 18,971.20 : x
  2. Step 2: Convert to fraction form
    58,412.80/87,640.80 = 18,971.20/x
  3. Step 3: Cross multiply
    58,412.80x = 87,640.80 × 18,971.20
  4. Step 4: Simplify right side
    58,412.80x = 1,662,651,144.96
  5. Step 5: Solve for x
    x = 1,662,651,144.96/58,412.80
  6. Step 6: Final answer
    x = 28,463.82

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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.