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Finding the Fourth Proportional to 46,143, 69,207.48 and 12,859.56

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Solution

The fourth proportional to 46,143, 69,207.48 and 12,859.56 is: 19,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143 : 69,207.48 = 12,859.56 : x
  2. Step 2: Convert to fraction form
    46,143/69,207.48 = 12,859.56/x
  3. Step 3: Cross multiply
    46,143x = 69,207.48 × 12,859.56
  4. Step 4: Simplify right side
    46,143x = 889,977,741.51
  5. Step 5: Solve for x
    x = 889,977,741.51/46,143
  6. Step 6: Final answer
    x = 19,287.38

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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.