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Finding the Fourth Proportional to 145,842.60, 218,850.30 and 106,300.20

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Solution

The fourth proportional to 145,842.60, 218,850.30 and 106,300.20 is: 159,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,842.60 : 218,850.30 = 106,300.20 : x
  2. Step 2: Convert to fraction form
    145,842.60/218,850.30 = 106,300.20/x
  3. Step 3: Cross multiply
    145,842.60x = 218,850.30 × 106,300.20
  4. Step 4: Simplify right side
    145,842.60x = 23,263,830,660.06
  5. Step 5: Solve for x
    x = 23,263,830,660.06/145,842.60
  6. Step 6: Final answer
    x = 159,513.27

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1.5x scale

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.