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Finding the Fourth Proportional to 75,152, 103,709.79 and 41,618

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Solution

The fourth proportional to 75,152, 103,709.79 and 41,618 is: 57,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152 : 103,709.79 = 41,618 : x
  2. Step 2: Convert to fraction form
    75,152/103,709.79 = 41,618/x
  3. Step 3: Cross multiply
    75,152x = 103,709.79 × 41,618
  4. Step 4: Simplify right side
    75,152x = 4,316,194,040.22
  5. Step 5: Solve for x
    x = 4,316,194,040.22/75,152
  6. Step 6: Final answer
    x = 57,432.86

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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.