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Finding the Fourth Proportional to 153,820.81, 212,272.31 and 85,837.06

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Solution

The fourth proportional to 153,820.81, 212,272.31 and 85,837.06 is: 118,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.81 : 212,272.31 = 85,837.06 : x
  2. Step 2: Convert to fraction form
    153,820.81/212,272.31 = 85,837.06/x
  3. Step 3: Cross multiply
    153,820.81x = 212,272.31 × 85,837.06
  4. Step 4: Simplify right side
    153,820.81x = 18,220,831,489.74
  5. Step 5: Solve for x
    x = 18,220,831,489.74/153,820.81
  6. Step 6: Final answer
    x = 118,454.92

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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.