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Finding the Fourth Proportional to 74,641.36, 111,415.94 and 65,784.32

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Solution

The fourth proportional to 74,641.36, 111,415.94 and 65,784.32 is: 98,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,641.36 : 111,415.94 = 65,784.32 : x
  2. Step 2: Convert to fraction form
    74,641.36/111,415.94 = 65,784.32/x
  3. Step 3: Cross multiply
    74,641.36x = 111,415.94 × 65,784.32
  4. Step 4: Simplify right side
    74,641.36x = 7,329,421,850.06
  5. Step 5: Solve for x
    x = 7,329,421,850.06/74,641.36
  6. Step 6: Final answer
    x = 98,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.