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Finding the Fourth Proportional to 74,642.36, 111,417.44 and 65,785.32

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Solution

The fourth proportional to 74,642.36, 111,417.44 and 65,785.32 is: 98,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,642.36 : 111,417.44 = 65,785.32 : x
  2. Step 2: Convert to fraction form
    74,642.36/111,417.44 = 65,785.32/x
  3. Step 3: Cross multiply
    74,642.36x = 111,417.44 × 65,785.32
  4. Step 4: Simplify right side
    74,642.36x = 7,329,631,943.98
  5. Step 5: Solve for x
    x = 7,329,631,943.98/74,642.36
  6. Step 6: Final answer
    x = 98,196.68

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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.