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Finding the Fourth Proportional to 52,447.69, 78,669.51 and 13,005.15

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Solution

The fourth proportional to 52,447.69, 78,669.51 and 13,005.15 is: 19,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,447.69 : 78,669.51 = 13,005.15 : x
  2. Step 2: Convert to fraction form
    52,447.69/78,669.51 = 13,005.15/x
  3. Step 3: Cross multiply
    52,447.69x = 78,669.51 × 13,005.15
  4. Step 4: Simplify right side
    52,447.69x = 1,023,108,777.98
  5. Step 5: Solve for x
    x = 1,023,108,777.98/52,447.69
  6. Step 6: Final answer
    x = 19,507.22

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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.