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Finding the Fourth Proportional to 146,893.20, 220,339.80 and 120,973.20

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Solution

The fourth proportional to 146,893.20, 220,339.80 and 120,973.20 is: 181,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893.20 : 220,339.80 = 120,973.20 : x
  2. Step 2: Convert to fraction form
    146,893.20/220,339.80 = 120,973.20/x
  3. Step 3: Cross multiply
    146,893.20x = 220,339.80 × 120,973.20
  4. Step 4: Simplify right side
    146,893.20x = 26,655,210,693.36
  5. Step 5: Solve for x
    x = 26,655,210,693.36/146,893.20
  6. Step 6: Final answer
    x = 181,459.80

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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.