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Finding the Fourth Proportional to 74,152, 102,329.76 and 40,618

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Solution

The fourth proportional to 74,152, 102,329.76 and 40,618 is: 56,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152 : 102,329.76 = 40,618 : x
  2. Step 2: Convert to fraction form
    74,152/102,329.76 = 40,618/x
  3. Step 3: Cross multiply
    74,152x = 102,329.76 × 40,618
  4. Step 4: Simplify right side
    74,152x = 4,156,430,191.68
  5. Step 5: Solve for x
    x = 4,156,430,191.68/74,152
  6. Step 6: Final answer
    x = 56,052.84

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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.