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Finding the Fourth Proportional to 103,765.62, 155,424.86 and 70,302.10

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Solution

The fourth proportional to 103,765.62, 155,424.86 and 70,302.10 is: 105,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,765.62 : 155,424.86 = 70,302.10 : x
  2. Step 2: Convert to fraction form
    103,765.62/155,424.86 = 70,302.10/x
  3. Step 3: Cross multiply
    103,765.62x = 155,424.86 × 70,302.10
  4. Step 4: Simplify right side
    103,765.62x = 10,926,694,050.21
  5. Step 5: Solve for x
    x = 10,926,694,050.21/103,765.62
  6. Step 6: Final answer
    x = 105,301.68

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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.