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Finding the Fourth Proportional to 64,765.21, 97,007.19 and 31,415.19

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Solution

The fourth proportional to 64,765.21, 97,007.19 and 31,415.19 is: 47,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765.21 : 97,007.19 = 31,415.19 : x
  2. Step 2: Convert to fraction form
    64,765.21/97,007.19 = 31,415.19/x
  3. Step 3: Cross multiply
    64,765.21x = 97,007.19 × 31,415.19
  4. Step 4: Simplify right side
    64,765.21x = 3,047,499,305.22
  5. Step 5: Solve for x
    x = 3,047,499,305.22/64,765.21
  6. Step 6: Final answer
    x = 47,054.57

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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.