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Finding the Fourth Proportional to 74,281, 102,507.80 and 40,747

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Solution

The fourth proportional to 74,281, 102,507.80 and 40,747 is: 56,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,281 : 102,507.80 = 40,747 : x
  2. Step 2: Convert to fraction form
    74,281/102,507.80 = 40,747/x
  3. Step 3: Cross multiply
    74,281x = 102,507.80 × 40,747
  4. Step 4: Simplify right side
    74,281x = 4,176,885,326.60
  5. Step 5: Solve for x
    x = 4,176,885,326.60/74,281
  6. Step 6: Final answer
    x = 56,230.87

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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.