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Finding the Fourth Proportional to 210,065.08, 315,096 and 52,292.48

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Solution

The fourth proportional to 210,065.08, 315,096 and 52,292.48 is: 78,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,065.08 : 315,096 = 52,292.48 : x
  2. Step 2: Convert to fraction form
    210,065.08/315,096 = 52,292.48/x
  3. Step 3: Cross multiply
    210,065.08x = 315,096 × 52,292.48
  4. Step 4: Simplify right side
    210,065.08x = 16,477,151,278.08
  5. Step 5: Solve for x
    x = 16,477,151,278.08/210,065.08
  6. Step 6: Final answer
    x = 78,438.32

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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.