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Finding the Fourth Proportional to 139,052.16, 208,576.08 and 55,944

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Solution

The fourth proportional to 139,052.16, 208,576.08 and 55,944 is: 83,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,052.16 : 208,576.08 = 55,944 : x
  2. Step 2: Convert to fraction form
    139,052.16/208,576.08 = 55,944/x
  3. Step 3: Cross multiply
    139,052.16x = 208,576.08 × 55,944
  4. Step 4: Simplify right side
    139,052.16x = 11,668,580,219.52
  5. Step 5: Solve for x
    x = 11,668,580,219.52/139,052.16
  6. Step 6: Final answer
    x = 83,915.13

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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.