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Finding the Fourth Proportional to 141,783.40, 212,412.70 and 82,647.40

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Solution

The fourth proportional to 141,783.40, 212,412.70 and 82,647.40 is: 123,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,783.40 : 212,412.70 = 82,647.40 : x
  2. Step 2: Convert to fraction form
    141,783.40/212,412.70 = 82,647.40/x
  3. Step 3: Cross multiply
    141,783.40x = 212,412.70 × 82,647.40
  4. Step 4: Simplify right side
    141,783.40x = 17,555,357,381.98
  5. Step 5: Solve for x
    x = 17,555,357,381.98/141,783.40
  6. Step 6: Final answer
    x = 123,818.14

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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.