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Finding the Fourth Proportional to 137,139.36, 205,730.64 and 58,254

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Solution

The fourth proportional to 137,139.36, 205,730.64 and 58,254 is: 87,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.36 : 205,730.64 = 58,254 : x
  2. Step 2: Convert to fraction form
    137,139.36/205,730.64 = 58,254/x
  3. Step 3: Cross multiply
    137,139.36x = 205,730.64 × 58,254
  4. Step 4: Simplify right side
    137,139.36x = 11,984,632,702.56
  5. Step 5: Solve for x
    x = 11,984,632,702.56/137,139.36
  6. Step 6: Final answer
    x = 87,390.18

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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.