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Finding the Fourth Proportional to 65,138.64, 97,536.66 and 52,420.77

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Solution

The fourth proportional to 65,138.64, 97,536.66 and 52,420.77 is: 78,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.64 : 97,536.66 = 52,420.77 : x
  2. Step 2: Convert to fraction form
    65,138.64/97,536.66 = 52,420.77/x
  3. Step 3: Cross multiply
    65,138.64x = 97,536.66 × 52,420.77
  4. Step 4: Simplify right side
    65,138.64x = 5,112,946,623.85
  5. Step 5: Solve for x
    x = 5,112,946,623.85/65,138.64
  6. Step 6: Final answer
    x = 78,493.30

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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.