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Finding the Fourth Proportional to 76,396.83, 105,422.63 and 42,403.68

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Solution

The fourth proportional to 76,396.83, 105,422.63 and 42,403.68 is: 58,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.83 : 105,422.63 = 42,403.68 : x
  2. Step 2: Convert to fraction form
    76,396.83/105,422.63 = 42,403.68/x
  3. Step 3: Cross multiply
    76,396.83x = 105,422.63 × 42,403.68
  4. Step 4: Simplify right side
    76,396.83x = 4,470,307,255.26
  5. Step 5: Solve for x
    x = 4,470,307,255.26/76,396.83
  6. Step 6: Final answer
    x = 58,514.30

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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.