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Finding the Fourth Proportional to 120,030.72, 179,907.84 and 78,405.12

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Solution

The fourth proportional to 120,030.72, 179,907.84 and 78,405.12 is: 117,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030.72 : 179,907.84 = 78,405.12 : x
  2. Step 2: Convert to fraction form
    120,030.72/179,907.84 = 78,405.12/x
  3. Step 3: Cross multiply
    120,030.72x = 179,907.84 × 78,405.12
  4. Step 4: Simplify right side
    120,030.72x = 14,105,695,784.14
  5. Step 5: Solve for x
    x = 14,105,695,784.14/120,030.72
  6. Step 6: Final answer
    x = 117,517.38

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1.5x scale

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.