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Finding the Fourth Proportional to 153,820.12, 212,271.37 and 85,836.37

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Solution

The fourth proportional to 153,820.12, 212,271.37 and 85,836.37 is: 118,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.12 : 212,271.37 = 85,836.37 : x
  2. Step 2: Convert to fraction form
    153,820.12/212,271.37 = 85,836.37/x
  3. Step 3: Cross multiply
    153,820.12x = 212,271.37 × 85,836.37
  4. Step 4: Simplify right side
    153,820.12x = 18,220,604,171.81
  5. Step 5: Solve for x
    x = 18,220,604,171.81/153,820.12
  6. Step 6: Final answer
    x = 118,453.97

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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.