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Finding the Fourth Proportional to 75,999.20, 104,878.80 and 42,465.20

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Solution

The fourth proportional to 75,999.20, 104,878.80 and 42,465.20 is: 58,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.20 : 104,878.80 = 42,465.20 : x
  2. Step 2: Convert to fraction form
    75,999.20/104,878.80 = 42,465.20/x
  3. Step 3: Cross multiply
    75,999.20x = 104,878.80 × 42,465.20
  4. Step 4: Simplify right side
    75,999.20x = 4,453,699,217.76
  5. Step 5: Solve for x
    x = 4,453,699,217.76/75,999.20
  6. Step 6: Final answer
    x = 58,601.92

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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.