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Finding the Fourth Proportional to 56,600.90, 78,110.74 and 31,107.98

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Solution

The fourth proportional to 56,600.90, 78,110.74 and 31,107.98 is: 42,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,600.90 : 78,110.74 = 31,107.98 : x
  2. Step 2: Convert to fraction form
    56,600.90/78,110.74 = 31,107.98/x
  3. Step 3: Cross multiply
    56,600.90x = 78,110.74 × 31,107.98
  4. Step 4: Simplify right side
    56,600.90x = 2,429,867,337.71
  5. Step 5: Solve for x
    x = 2,429,867,337.71/56,600.90
  6. Step 6: Final answer
    x = 42,929.84

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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.