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Finding the Fourth Proportional to 74,047.40, 102,184.58 and 40,513

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Solution

The fourth proportional to 74,047.40, 102,184.58 and 40,513 is: 55,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,047.40 : 102,184.58 = 40,513 : x
  2. Step 2: Convert to fraction form
    74,047.40/102,184.58 = 40,513/x
  3. Step 3: Cross multiply
    74,047.40x = 102,184.58 × 40,513
  4. Step 4: Simplify right side
    74,047.40x = 4,139,803,889.54
  5. Step 5: Solve for x
    x = 4,139,803,889.54/74,047.40
  6. Step 6: Final answer
    x = 55,907.48

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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.