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Finding the Fourth Proportional to 65,203.08, 89,978.76 and 38,339.70

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Solution

The fourth proportional to 65,203.08, 89,978.76 and 38,339.70 is: 52,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.08 : 89,978.76 = 38,339.70 : x
  2. Step 2: Convert to fraction form
    65,203.08/89,978.76 = 38,339.70/x
  3. Step 3: Cross multiply
    65,203.08x = 89,978.76 × 38,339.70
  4. Step 4: Simplify right side
    65,203.08x = 3,449,758,664.77
  5. Step 5: Solve for x
    x = 3,449,758,664.77/65,203.08
  6. Step 6: Final answer
    x = 52,907.91

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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.