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Finding the Fourth Proportional to 141,900.80, 212,743.20 and 71,830.40

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Solution

The fourth proportional to 141,900.80, 212,743.20 and 71,830.40 is: 107,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,900.80 : 212,743.20 = 71,830.40 : x
  2. Step 2: Convert to fraction form
    141,900.80/212,743.20 = 71,830.40/x
  3. Step 3: Cross multiply
    141,900.80x = 212,743.20 × 71,830.40
  4. Step 4: Simplify right side
    141,900.80x = 15,281,429,153.28
  5. Step 5: Solve for x
    x = 15,281,429,153.28/141,900.80
  6. Step 6: Final answer
    x = 107,690.93

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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.