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Finding the Fourth Proportional to 120,762, 180,967.92 and 68,059.32

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Solution

The fourth proportional to 120,762, 180,967.92 and 68,059.32 is: 101,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,762 : 180,967.92 = 68,059.32 : x
  2. Step 2: Convert to fraction form
    120,762/180,967.92 = 68,059.32/x
  3. Step 3: Cross multiply
    120,762x = 180,967.92 × 68,059.32
  4. Step 4: Simplify right side
    120,762x = 12,316,553,577.01
  5. Step 5: Solve for x
    x = 12,316,553,577.01/120,762
  6. Step 6: Final answer
    x = 101,990.31

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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.