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Finding the Fourth Proportional to 56,817, 78,325.48 and 39,768.48

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Solution

The fourth proportional to 56,817, 78,325.48 and 39,768.48 is: 54,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,817 : 78,325.48 = 39,768.48 : x
  2. Step 2: Convert to fraction form
    56,817/78,325.48 = 39,768.48/x
  3. Step 3: Cross multiply
    56,817x = 78,325.48 × 39,768.48
  4. Step 4: Simplify right side
    56,817x = 3,114,885,284.87
  5. Step 5: Solve for x
    x = 3,114,885,284.87/56,817
  6. Step 6: Final answer
    x = 54,823.12

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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.