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Finding the Fourth Proportional to 64,998.30, 97,485.12 and 31,684.86

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Solution

The fourth proportional to 64,998.30, 97,485.12 and 31,684.86 is: 47,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998.30 : 97,485.12 = 31,684.86 : x
  2. Step 2: Convert to fraction form
    64,998.30/97,485.12 = 31,684.86/x
  3. Step 3: Cross multiply
    64,998.30x = 97,485.12 × 31,684.86
  4. Step 4: Simplify right side
    64,998.30x = 3,088,802,379.28
  5. Step 5: Solve for x
    x = 3,088,802,379.28/64,998.30
  6. Step 6: Final answer
    x = 47,521.28

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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.