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Finding the Fourth Proportional to 120,742.50, 181,123.74 and 37,636.50

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Solution

The fourth proportional to 120,742.50, 181,123.74 and 37,636.50 is: 56,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,742.50 : 181,123.74 = 37,636.50 : x
  2. Step 2: Convert to fraction form
    120,742.50/181,123.74 = 37,636.50/x
  3. Step 3: Cross multiply
    120,742.50x = 181,123.74 × 37,636.50
  4. Step 4: Simplify right side
    120,742.50x = 6,816,863,640.51
  5. Step 5: Solve for x
    x = 6,816,863,640.51/120,742.50
  6. Step 6: Final answer
    x = 56,457.86

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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.