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Finding the Fourth Proportional to 238,612.26, 357,927.05 and 78,692.12

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Solution

The fourth proportional to 238,612.26, 357,927.05 and 78,692.12 is: 118,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,612.26 : 357,927.05 = 78,692.12 : x
  2. Step 2: Convert to fraction form
    238,612.26/357,927.05 = 78,692.12/x
  3. Step 3: Cross multiply
    238,612.26x = 357,927.05 × 78,692.12
  4. Step 4: Simplify right side
    238,612.26x = 28,166,038,119.17
  5. Step 5: Solve for x
    x = 28,166,038,119.17/238,612.26
  6. Step 6: Final answer
    x = 118,041.03

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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.