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Finding the Fourth Proportional to 158,642.82, 218,896.77 and 90,681.32

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Solution

The fourth proportional to 158,642.82, 218,896.77 and 90,681.32 is: 125,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,642.82 : 218,896.77 = 90,681.32 : x
  2. Step 2: Convert to fraction form
    158,642.82/218,896.77 = 90,681.32/x
  3. Step 3: Cross multiply
    158,642.82x = 218,896.77 × 90,681.32
  4. Step 4: Simplify right side
    158,642.82x = 19,849,848,047.34
  5. Step 5: Solve for x
    x = 19,849,848,047.34/158,642.82
  6. Step 6: Final answer
    x = 125,122.89

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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.