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Finding the Fourth Proportional to 145,611.60, 218,125.80 and 83,209.20

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Solution

The fourth proportional to 145,611.60, 218,125.80 and 83,209.20 is: 124,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.60 : 218,125.80 = 83,209.20 : x
  2. Step 2: Convert to fraction form
    145,611.60/218,125.80 = 83,209.20/x
  3. Step 3: Cross multiply
    145,611.60x = 218,125.80 × 83,209.20
  4. Step 4: Simplify right side
    145,611.60x = 18,150,073,317.36
  5. Step 5: Solve for x
    x = 18,150,073,317.36/145,611.60
  6. Step 6: Final answer
    x = 124,647.17

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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.