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Finding the Fourth Proportional to 154,370, 213,030.60 and 83,714

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Solution

The fourth proportional to 154,370, 213,030.60 and 83,714 is: 115,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,370 : 213,030.60 = 83,714 : x
  2. Step 2: Convert to fraction form
    154,370/213,030.60 = 83,714/x
  3. Step 3: Cross multiply
    154,370x = 213,030.60 × 83,714
  4. Step 4: Simplify right side
    154,370x = 17,833,643,648.40
  5. Step 5: Solve for x
    x = 17,833,643,648.40/154,370
  6. Step 6: Final answer
    x = 115,525.32

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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.