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Finding the Fourth Proportional to 74,130, 102,299.76 and 40,596

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Solution

The fourth proportional to 74,130, 102,299.76 and 40,596 is: 56,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,130 : 102,299.76 = 40,596 : x
  2. Step 2: Convert to fraction form
    74,130/102,299.76 = 40,596/x
  3. Step 3: Cross multiply
    74,130x = 102,299.76 × 40,596
  4. Step 4: Simplify right side
    74,130x = 4,152,961,056.96
  5. Step 5: Solve for x
    x = 4,152,961,056.96/74,130
  6. Step 6: Final answer
    x = 56,022.68

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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.