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Finding the Fourth Proportional to 135,846, 187,458.84 and 75,417.84

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Solution

The fourth proportional to 135,846, 187,458.84 and 75,417.84 is: 104,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,846 : 187,458.84 = 75,417.84 : x
  2. Step 2: Convert to fraction form
    135,846/187,458.84 = 75,417.84/x
  3. Step 3: Cross multiply
    135,846x = 187,458.84 × 75,417.84
  4. Step 4: Simplify right side
    135,846x = 14,137,740,801.71
  5. Step 5: Solve for x
    x = 14,137,740,801.71/135,846
  6. Step 6: Final answer
    x = 104,071.82

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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.