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Finding the Fourth Proportional to 64,779.75, 97,012.89 and 31,417.20

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Solution

The fourth proportional to 64,779.75, 97,012.89 and 31,417.20 is: 47,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,779.75 : 97,012.89 = 31,417.20 : x
  2. Step 2: Convert to fraction form
    64,779.75/97,012.89 = 31,417.20/x
  3. Step 3: Cross multiply
    64,779.75x = 97,012.89 × 31,417.20
  4. Step 4: Simplify right side
    64,779.75x = 3,047,873,367.71
  5. Step 5: Solve for x
    x = 3,047,873,367.71/64,779.75
  6. Step 6: Final answer
    x = 47,049.79

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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.