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Finding the Fourth Proportional to 52,683.77, 78,942.43 and 42,774.64

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Solution

The fourth proportional to 52,683.77, 78,942.43 and 42,774.64 is: 64,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683.77 : 78,942.43 = 42,774.64 : x
  2. Step 2: Convert to fraction form
    52,683.77/78,942.43 = 42,774.64/x
  3. Step 3: Cross multiply
    52,683.77x = 78,942.43 × 42,774.64
  4. Step 4: Simplify right side
    52,683.77x = 3,376,733,415.39
  5. Step 5: Solve for x
    x = 3,376,733,415.39/52,683.77
  6. Step 6: Final answer
    x = 64,094.38

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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.