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Finding the Fourth Proportional to 75,999.96, 104,877.12 and 42,007.80

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Solution

The fourth proportional to 75,999.96, 104,877.12 and 42,007.80 is: 57,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.96 : 104,877.12 = 42,007.80 : x
  2. Step 2: Convert to fraction form
    75,999.96/104,877.12 = 42,007.80/x
  3. Step 3: Cross multiply
    75,999.96x = 104,877.12 × 42,007.80
  4. Step 4: Simplify right side
    75,999.96x = 4,405,657,081.54
  5. Step 5: Solve for x
    x = 4,405,657,081.54/75,999.96
  6. Step 6: Final answer
    x = 57,969.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.