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Finding the Fourth Proportional to 215,421.50, 323,176 and 90,762.50

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Solution

The fourth proportional to 215,421.50, 323,176 and 90,762.50 is: 136,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421.50 : 323,176 = 90,762.50 : x
  2. Step 2: Convert to fraction form
    215,421.50/323,176 = 90,762.50/x
  3. Step 3: Cross multiply
    215,421.50x = 323,176 × 90,762.50
  4. Step 4: Simplify right side
    215,421.50x = 29,332,261,700
  5. Step 5: Solve for x
    x = 29,332,261,700/215,421.50
  6. Step 6: Final answer
    x = 136,162.18

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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.