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Finding the Fourth Proportional to 51,807.77, 71,492.11 and 30,582.93

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Solution

The fourth proportional to 51,807.77, 71,492.11 and 30,582.93 is: 42,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.77 : 71,492.11 = 30,582.93 : x
  2. Step 2: Convert to fraction form
    51,807.77/71,492.11 = 30,582.93/x
  3. Step 3: Cross multiply
    51,807.77x = 71,492.11 × 30,582.93
  4. Step 4: Simplify right side
    51,807.77x = 2,186,438,195.68
  5. Step 5: Solve for x
    x = 2,186,438,195.68/51,807.77
  6. Step 6: Final answer
    x = 42,202.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.