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Finding the Fourth Proportional to 74,519, 102,784.14 and 49,017.32

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Solution

The fourth proportional to 74,519, 102,784.14 and 49,017.32 is: 67,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,519 : 102,784.14 = 49,017.32 : x
  2. Step 2: Convert to fraction form
    74,519/102,784.14 = 49,017.32/x
  3. Step 3: Cross multiply
    74,519x = 102,784.14 × 49,017.32
  4. Step 4: Simplify right side
    74,519x = 5,038,203,081.30
  5. Step 5: Solve for x
    x = 5,038,203,081.30/74,519
  6. Step 6: Final answer
    x = 67,609.64

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1.5x scale

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.