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Finding the Fourth Proportional to 71,830.96, 107,746.48 and 19,239.10

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Solution

The fourth proportional to 71,830.96, 107,746.48 and 19,239.10 is: 28,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.96 : 107,746.48 = 19,239.10 : x
  2. Step 2: Convert to fraction form
    71,830.96/107,746.48 = 19,239.10/x
  3. Step 3: Cross multiply
    71,830.96x = 107,746.48 × 19,239.10
  4. Step 4: Simplify right side
    71,830.96x = 2,072,945,303.37
  5. Step 5: Solve for x
    x = 2,072,945,303.37/71,830.96
  6. Step 6: Final answer
    x = 28,858.66

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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.