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Finding the Fourth Proportional to 82,946, 114,465.48 and 53,138

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Solution

The fourth proportional to 82,946, 114,465.48 and 53,138 is: 73,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,946 : 114,465.48 = 53,138 : x
  2. Step 2: Convert to fraction form
    82,946/114,465.48 = 53,138/x
  3. Step 3: Cross multiply
    82,946x = 114,465.48 × 53,138
  4. Step 4: Simplify right side
    82,946x = 6,082,466,676.24
  5. Step 5: Solve for x
    x = 6,082,466,676.24/82,946
  6. Step 6: Final answer
    x = 73,330.44

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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.