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Finding the Fourth Proportional to 212,480, 293,222.40 and 118,272

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Solution

The fourth proportional to 212,480, 293,222.40 and 118,272 is: 163,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,480 : 293,222.40 = 118,272 : x
  2. Step 2: Convert to fraction form
    212,480/293,222.40 = 118,272/x
  3. Step 3: Cross multiply
    212,480x = 293,222.40 × 118,272
  4. Step 4: Simplify right side
    212,480x = 34,679,999,692.80
  5. Step 5: Solve for x
    x = 34,679,999,692.80/212,480
  6. Step 6: Final answer
    x = 163,215.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.