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Finding the Fourth Proportional to 64,980.86, 97,392.80 and 31,650.98

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Solution

The fourth proportional to 64,980.86, 97,392.80 and 31,650.98 is: 47,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980.86 : 97,392.80 = 31,650.98 : x
  2. Step 2: Convert to fraction form
    64,980.86/97,392.80 = 31,650.98/x
  3. Step 3: Cross multiply
    64,980.86x = 97,392.80 × 31,650.98
  4. Step 4: Simplify right side
    64,980.86x = 3,082,577,564.94
  5. Step 5: Solve for x
    x = 3,082,577,564.94/64,980.86
  6. Step 6: Final answer
    x = 47,438.24

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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.