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Finding the Fourth Proportional to 153,760.68, 212,192.46 and 85,779

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Solution

The fourth proportional to 153,760.68, 212,192.46 and 85,779 is: 118,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,760.68 : 212,192.46 = 85,779 : x
  2. Step 2: Convert to fraction form
    153,760.68/212,192.46 = 85,779/x
  3. Step 3: Cross multiply
    153,760.68x = 212,192.46 × 85,779
  4. Step 4: Simplify right side
    153,760.68x = 18,201,657,026.34
  5. Step 5: Solve for x
    x = 18,201,657,026.34/153,760.68
  6. Step 6: Final answer
    x = 118,376.54

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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.