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Finding the Fourth Proportional to 64,782, 97,016.27 and 31,419.45

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Solution

The fourth proportional to 64,782, 97,016.27 and 31,419.45 is: 47,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782 : 97,016.27 = 31,419.45 : x
  2. Step 2: Convert to fraction form
    64,782/97,016.27 = 31,419.45/x
  3. Step 3: Cross multiply
    64,782x = 97,016.27 × 31,419.45
  4. Step 4: Simplify right side
    64,782x = 3,048,197,687.35
  5. Step 5: Solve for x
    x = 3,048,197,687.35/64,782
  6. Step 6: Final answer
    x = 47,053.16

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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.