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Finding the Fourth Proportional to 64,704.42, 97,098.11 and 31,406.33

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Solution

The fourth proportional to 64,704.42, 97,098.11 and 31,406.33 is: 47,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,704.42 : 97,098.11 = 31,406.33 : x
  2. Step 2: Convert to fraction form
    64,704.42/97,098.11 = 31,406.33/x
  3. Step 3: Cross multiply
    64,704.42x = 97,098.11 × 31,406.33
  4. Step 4: Simplify right side
    64,704.42x = 3,049,495,488.52
  5. Step 5: Solve for x
    x = 3,049,495,488.52/64,704.42
  6. Step 6: Final answer
    x = 47,129.63

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1.5x scale

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.