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Finding the Fourth Proportional to 145,643.40, 218,027.70 and 86,448.60

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Solution

The fourth proportional to 145,643.40, 218,027.70 and 86,448.60 is: 129,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643.40 : 218,027.70 = 86,448.60 : x
  2. Step 2: Convert to fraction form
    145,643.40/218,027.70 = 86,448.60/x
  3. Step 3: Cross multiply
    145,643.40x = 218,027.70 × 86,448.60
  4. Step 4: Simplify right side
    145,643.40x = 18,848,189,426.22
  5. Step 5: Solve for x
    x = 18,848,189,426.22/145,643.40
  6. Step 6: Final answer
    x = 129,413.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.