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Finding the Fourth Proportional to 64,785, 97,020.77 and 31,422.45

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Solution

The fourth proportional to 64,785, 97,020.77 and 31,422.45 is: 47,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,785 : 97,020.77 = 31,422.45 : x
  2. Step 2: Convert to fraction form
    64,785/97,020.77 = 31,422.45/x
  3. Step 3: Cross multiply
    64,785x = 97,020.77 × 31,422.45
  4. Step 4: Simplify right side
    64,785x = 3,048,630,137.17
  5. Step 5: Solve for x
    x = 3,048,630,137.17/64,785
  6. Step 6: Final answer
    x = 47,057.65

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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.