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Finding the Fourth Proportional to 153,643.25, 212,028.60 and 85,664.51

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Solution

The fourth proportional to 153,643.25, 212,028.60 and 85,664.51 is: 118,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.25 : 212,028.60 = 85,664.51 : x
  2. Step 2: Convert to fraction form
    153,643.25/212,028.60 = 85,664.51/x
  3. Step 3: Cross multiply
    153,643.25x = 212,028.60 × 85,664.51
  4. Step 4: Simplify right side
    153,643.25x = 18,163,326,124.99
  5. Step 5: Solve for x
    x = 18,163,326,124.99/153,643.25
  6. Step 6: Final answer
    x = 118,217.53

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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.