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Finding the Fourth Proportional to 77,297.76, 115,946.64 and 42,218.28

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Solution

The fourth proportional to 77,297.76, 115,946.64 and 42,218.28 is: 63,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.76 : 115,946.64 = 42,218.28 : x
  2. Step 2: Convert to fraction form
    77,297.76/115,946.64 = 42,218.28/x
  3. Step 3: Cross multiply
    77,297.76x = 115,946.64 × 42,218.28
  4. Step 4: Simplify right side
    77,297.76x = 4,895,067,712.58
  5. Step 5: Solve for x
    x = 4,895,067,712.58/77,297.76
  6. Step 6: Final answer
    x = 63,327.42

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1.5x scale

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.