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Finding the Fourth Proportional to 74,420, 102,701.20 and 40,886

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Solution

The fourth proportional to 74,420, 102,701.20 and 40,886 is: 56,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,420 : 102,701.20 = 40,886 : x
  2. Step 2: Convert to fraction form
    74,420/102,701.20 = 40,886/x
  3. Step 3: Cross multiply
    74,420x = 102,701.20 × 40,886
  4. Step 4: Simplify right side
    74,420x = 4,199,041,263.20
  5. Step 5: Solve for x
    x = 4,199,041,263.20/74,420
  6. Step 6: Final answer
    x = 56,423.56

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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.