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Finding the Fourth Proportional to 113,886.90, 170,830.35 and 82,394.10

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Solution

The fourth proportional to 113,886.90, 170,830.35 and 82,394.10 is: 123,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886.90 : 170,830.35 = 82,394.10 : x
  2. Step 2: Convert to fraction form
    113,886.90/170,830.35 = 82,394.10/x
  3. Step 3: Cross multiply
    113,886.90x = 170,830.35 × 82,394.10
  4. Step 4: Simplify right side
    113,886.90x = 14,075,412,940.94
  5. Step 5: Solve for x
    x = 14,075,412,940.94/113,886.90
  6. Step 6: Final answer
    x = 123,591.15

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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.