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Finding the Fourth Proportional to 120,533.80, 180,800.70 and 78,543.40

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Solution

The fourth proportional to 120,533.80, 180,800.70 and 78,543.40 is: 117,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,533.80 : 180,800.70 = 78,543.40 : x
  2. Step 2: Convert to fraction form
    120,533.80/180,800.70 = 78,543.40/x
  3. Step 3: Cross multiply
    120,533.80x = 180,800.70 × 78,543.40
  4. Step 4: Simplify right side
    120,533.80x = 14,200,701,700.38
  5. Step 5: Solve for x
    x = 14,200,701,700.38/120,533.80
  6. Step 6: Final answer
    x = 117,815.10

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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.