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Finding the Fourth Proportional to 56,782.84, 78,358.74 and 31,289.32

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Solution

The fourth proportional to 56,782.84, 78,358.74 and 31,289.32 is: 43,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782.84 : 78,358.74 = 31,289.32 : x
  2. Step 2: Convert to fraction form
    56,782.84/78,358.74 = 31,289.32/x
  3. Step 3: Cross multiply
    56,782.84x = 78,358.74 × 31,289.32
  4. Step 4: Simplify right side
    56,782.84x = 2,451,791,690.66
  5. Step 5: Solve for x
    x = 2,451,791,690.66/56,782.84
  6. Step 6: Final answer
    x = 43,178.39

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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.