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Finding the Fourth Proportional to 120,775.01, 180,349.21 and 98,632.31

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Solution

The fourth proportional to 120,775.01, 180,349.21 and 98,632.31 is: 147,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775.01 : 180,349.21 = 98,632.31 : x
  2. Step 2: Convert to fraction form
    120,775.01/180,349.21 = 98,632.31/x
  3. Step 3: Cross multiply
    120,775.01x = 180,349.21 × 98,632.31
  4. Step 4: Simplify right side
    120,775.01x = 17,788,259,188.98
  5. Step 5: Solve for x
    x = 17,788,259,188.98/120,775.01
  6. Step 6: Final answer
    x = 147,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.