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Finding the Fourth Proportional to 145,429.40, 218,144.10 and 141,930.20

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Solution

The fourth proportional to 145,429.40, 218,144.10 and 141,930.20 is: 212,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429.40 : 218,144.10 = 141,930.20 : x
  2. Step 2: Convert to fraction form
    145,429.40/218,144.10 = 141,930.20/x
  3. Step 3: Cross multiply
    145,429.40x = 218,144.10 × 141,930.20
  4. Step 4: Simplify right side
    145,429.40x = 30,961,235,741.82
  5. Step 5: Solve for x
    x = 30,961,235,741.82/145,429.40
  6. Step 6: Final answer
    x = 212,895.30

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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.