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Finding the Fourth Proportional to 137,674.60, 190,000.68 and 77,251

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Solution

The fourth proportional to 137,674.60, 190,000.68 and 77,251 is: 106,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,674.60 : 190,000.68 = 77,251 : x
  2. Step 2: Convert to fraction form
    137,674.60/190,000.68 = 77,251/x
  3. Step 3: Cross multiply
    137,674.60x = 190,000.68 × 77,251
  4. Step 4: Simplify right side
    137,674.60x = 14,677,742,530.68
  5. Step 5: Solve for x
    x = 14,677,742,530.68/137,674.60
  6. Step 6: Final answer
    x = 106,611.84

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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.