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Finding the Fourth Proportional to 120,070.48, 180,105.72 and 31,323.76

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Solution

The fourth proportional to 120,070.48, 180,105.72 and 31,323.76 is: 46,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.48 : 180,105.72 = 31,323.76 : x
  2. Step 2: Convert to fraction form
    120,070.48/180,105.72 = 31,323.76/x
  3. Step 3: Cross multiply
    120,070.48x = 180,105.72 × 31,323.76
  4. Step 4: Simplify right side
    120,070.48x = 5,641,588,347.91
  5. Step 5: Solve for x
    x = 5,641,588,347.91/120,070.48
  6. Step 6: Final answer
    x = 46,985.64

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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.