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Finding the Fourth Proportional to 64,917.81, 97,380.32 and 31,666.23

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Solution

The fourth proportional to 64,917.81, 97,380.32 and 31,666.23 is: 47,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,917.81 : 97,380.32 = 31,666.23 : x
  2. Step 2: Convert to fraction form
    64,917.81/97,380.32 = 31,666.23/x
  3. Step 3: Cross multiply
    64,917.81x = 97,380.32 × 31,666.23
  4. Step 4: Simplify right side
    64,917.81x = 3,083,667,452.26
  5. Step 5: Solve for x
    x = 3,083,667,452.26/64,917.81
  6. Step 6: Final answer
    x = 47,501.10

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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.