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Finding the Fourth Proportional to 145,720.40, 218,143.20 and 86,525.60

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Solution

The fourth proportional to 145,720.40, 218,143.20 and 86,525.60 is: 129,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,720.40 : 218,143.20 = 86,525.60 : x
  2. Step 2: Convert to fraction form
    145,720.40/218,143.20 = 86,525.60/x
  3. Step 3: Cross multiply
    145,720.40x = 218,143.20 × 86,525.60
  4. Step 4: Simplify right side
    145,720.40x = 18,874,971,265.92
  5. Step 5: Solve for x
    x = 18,874,971,265.92/145,720.40
  6. Step 6: Final answer
    x = 129,528.68

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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.