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Finding the Fourth Proportional to 89,050, 122,889 and 51,326.68

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Solution

The fourth proportional to 89,050, 122,889 and 51,326.68 is: 70,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,050 : 122,889 = 51,326.68 : x
  2. Step 2: Convert to fraction form
    89,050/122,889 = 51,326.68/x
  3. Step 3: Cross multiply
    89,050x = 122,889 × 51,326.68
  4. Step 4: Simplify right side
    89,050x = 6,307,484,378.52
  5. Step 5: Solve for x
    x = 6,307,484,378.52/89,050
  6. Step 6: Final answer
    x = 70,830.82

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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.