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Finding the Fourth Proportional to 69,257.76, 103,886.64 and 39,655.10

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Solution

The fourth proportional to 69,257.76, 103,886.64 and 39,655.10 is: 59,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,257.76 : 103,886.64 = 39,655.10 : x
  2. Step 2: Convert to fraction form
    69,257.76/103,886.64 = 39,655.10/x
  3. Step 3: Cross multiply
    69,257.76x = 103,886.64 × 39,655.10
  4. Step 4: Simplify right side
    69,257.76x = 4,119,634,578.43
  5. Step 5: Solve for x
    x = 4,119,634,578.43/69,257.76
  6. Step 6: Final answer
    x = 59,482.64

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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.