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Finding the Fourth Proportional to 51,803.40, 71,486.46 and 29,142

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Solution

The fourth proportional to 51,803.40, 71,486.46 and 29,142 is: 40,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.40 : 71,486.46 = 29,142 : x
  2. Step 2: Convert to fraction form
    51,803.40/71,486.46 = 29,142/x
  3. Step 3: Cross multiply
    51,803.40x = 71,486.46 × 29,142
  4. Step 4: Simplify right side
    51,803.40x = 2,083,258,417.32
  5. Step 5: Solve for x
    x = 2,083,258,417.32/51,803.40
  6. Step 6: Final answer
    x = 40,214.70

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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.