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Finding the Fourth Proportional to 105,740, 145,930.55 and 58,002.65

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Solution

The fourth proportional to 105,740, 145,930.55 and 58,002.65 is: 80,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740 : 145,930.55 = 58,002.65 : x
  2. Step 2: Convert to fraction form
    105,740/145,930.55 = 58,002.65/x
  3. Step 3: Cross multiply
    105,740x = 145,930.55 × 58,002.65
  4. Step 4: Simplify right side
    105,740x = 8,464,358,615.96
  5. Step 5: Solve for x
    x = 8,464,358,615.96/105,740
  6. Step 6: Final answer
    x = 80,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.