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Finding the Fourth Proportional to 145,409.60, 218,114.40 and 144,027.20

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Solution

The fourth proportional to 145,409.60, 218,114.40 and 144,027.20 is: 216,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.60 : 218,114.40 = 144,027.20 : x
  2. Step 2: Convert to fraction form
    145,409.60/218,114.40 = 144,027.20/x
  3. Step 3: Cross multiply
    145,409.60x = 218,114.40 × 144,027.20
  4. Step 4: Simplify right side
    145,409.60x = 31,414,406,311.68
  5. Step 5: Solve for x
    x = 31,414,406,311.68/145,409.60
  6. Step 6: Final answer
    x = 216,040.80

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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.