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Finding the Fourth Proportional to 120,539.32, 180,810.46 and 83,089.32

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Solution

The fourth proportional to 120,539.32, 180,810.46 and 83,089.32 is: 124,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539.32 : 180,810.46 = 83,089.32 : x
  2. Step 2: Convert to fraction form
    120,539.32/180,810.46 = 83,089.32/x
  3. Step 3: Cross multiply
    120,539.32x = 180,810.46 × 83,089.32
  4. Step 4: Simplify right side
    120,539.32x = 15,023,417,596.11
  5. Step 5: Solve for x
    x = 15,023,417,596.11/120,539.32
  6. Step 6: Final answer
    x = 124,635.00

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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.