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Finding the Fourth Proportional to 120,877.80, 181,316.70 and 78,887.40

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Solution

The fourth proportional to 120,877.80, 181,316.70 and 78,887.40 is: 118,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,877.80 : 181,316.70 = 78,887.40 : x
  2. Step 2: Convert to fraction form
    120,877.80/181,316.70 = 78,887.40/x
  3. Step 3: Cross multiply
    120,877.80x = 181,316.70 × 78,887.40
  4. Step 4: Simplify right side
    120,877.80x = 14,303,603,039.58
  5. Step 5: Solve for x
    x = 14,303,603,039.58/120,877.80
  6. Step 6: Final answer
    x = 118,331.10

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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.