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Finding the Fourth Proportional to 76,648.98, 105,768.26 and 56,516.73

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Solution

The fourth proportional to 76,648.98, 105,768.26 and 56,516.73 is: 77,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.98 : 105,768.26 = 56,516.73 : x
  2. Step 2: Convert to fraction form
    76,648.98/105,768.26 = 56,516.73/x
  3. Step 3: Cross multiply
    76,648.98x = 105,768.26 × 56,516.73
  4. Step 4: Simplify right side
    76,648.98x = 5,977,676,192.99
  5. Step 5: Solve for x
    x = 5,977,676,192.99/76,648.98
  6. Step 6: Final answer
    x = 77,987.68

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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.