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Finding the Fourth Proportional to 56,408.76, 77,802.69 and 40,509.54

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Solution

The fourth proportional to 56,408.76, 77,802.69 and 40,509.54 is: 55,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.76 : 77,802.69 = 40,509.54 : x
  2. Step 2: Convert to fraction form
    56,408.76/77,802.69 = 40,509.54/x
  3. Step 3: Cross multiply
    56,408.76x = 77,802.69 × 40,509.54
  4. Step 4: Simplify right side
    56,408.76x = 3,151,751,182.66
  5. Step 5: Solve for x
    x = 3,151,751,182.66/56,408.76
  6. Step 6: Final answer
    x = 55,873.43

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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.