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Finding the Fourth Proportional to 58,315.84, 87,475.10 and 20,878.48

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Solution

The fourth proportional to 58,315.84, 87,475.10 and 20,878.48 is: 31,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,315.84 : 87,475.10 = 20,878.48 : x
  2. Step 2: Convert to fraction form
    58,315.84/87,475.10 = 20,878.48/x
  3. Step 3: Cross multiply
    58,315.84x = 87,475.10 × 20,878.48
  4. Step 4: Simplify right side
    58,315.84x = 1,826,347,125.85
  5. Step 5: Solve for x
    x = 1,826,347,125.85/58,315.84
  6. Step 6: Final answer
    x = 31,318.20

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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.