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Finding the Fourth Proportional to 153,726, 212,141.88 and 83,070

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Solution

The fourth proportional to 153,726, 212,141.88 and 83,070 is: 114,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,726 : 212,141.88 = 83,070 : x
  2. Step 2: Convert to fraction form
    153,726/212,141.88 = 83,070/x
  3. Step 3: Cross multiply
    153,726x = 212,141.88 × 83,070
  4. Step 4: Simplify right side
    153,726x = 17,622,625,971.60
  5. Step 5: Solve for x
    x = 17,622,625,971.60/153,726
  6. Step 6: Final answer
    x = 114,636.60

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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.