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Finding the Fourth Proportional to 120,574.68, 180,899.67 and 72,595.89

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Solution

The fourth proportional to 120,574.68, 180,899.67 and 72,595.89 is: 108,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,574.68 : 180,899.67 = 72,595.89 : x
  2. Step 2: Convert to fraction form
    120,574.68/180,899.67 = 72,595.89/x
  3. Step 3: Cross multiply
    120,574.68x = 180,899.67 × 72,595.89
  4. Step 4: Simplify right side
    120,574.68x = 13,132,571,458.37
  5. Step 5: Solve for x
    x = 13,132,571,458.37/120,574.68
  6. Step 6: Final answer
    x = 108,916.49

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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.