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Finding the Fourth Proportional to 71,434.47, 107,129.83 and 49,389.51

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Solution

The fourth proportional to 71,434.47, 107,129.83 and 49,389.51 is: 74,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,434.47 : 107,129.83 = 49,389.51 : x
  2. Step 2: Convert to fraction form
    71,434.47/107,129.83 = 49,389.51/x
  3. Step 3: Cross multiply
    71,434.47x = 107,129.83 × 49,389.51
  4. Step 4: Simplify right side
    71,434.47x = 5,291,089,810.08
  5. Step 5: Solve for x
    x = 5,291,089,810.08/71,434.47
  6. Step 6: Final answer
    x = 74,069.14

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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.