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Finding the Fourth Proportional to 180,703.93, 270,875.42 and 120,782.87

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Solution

The fourth proportional to 180,703.93, 270,875.42 and 120,782.87 is: 181,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,703.93 : 270,875.42 = 120,782.87 : x
  2. Step 2: Convert to fraction form
    180,703.93/270,875.42 = 120,782.87/x
  3. Step 3: Cross multiply
    180,703.93x = 270,875.42 × 120,782.87
  4. Step 4: Simplify right side
    180,703.93x = 32,717,110,640.06
  5. Step 5: Solve for x
    x = 32,717,110,640.06/180,703.93
  6. Step 6: Final answer
    x = 181,053.68

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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.