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Finding the Fourth Proportional to 74,562, 102,980.88 and 50,648.64

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Solution

The fourth proportional to 74,562, 102,980.88 and 50,648.64 is: 69,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,562 : 102,980.88 = 50,648.64 : x
  2. Step 2: Convert to fraction form
    74,562/102,980.88 = 50,648.64/x
  3. Step 3: Cross multiply
    74,562x = 102,980.88 × 50,648.64
  4. Step 4: Simplify right side
    74,562x = 5,215,841,518.00
  5. Step 5: Solve for x
    x = 5,215,841,518.00/74,562
  6. Step 6: Final answer
    x = 69,953.08

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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.