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Finding the Fourth Proportional to 147,641, 203,755.54 and 83,999.30

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Solution

The fourth proportional to 147,641, 203,755.54 and 83,999.30 is: 115,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,641 : 203,755.54 = 83,999.30 : x
  2. Step 2: Convert to fraction form
    147,641/203,755.54 = 83,999.30/x
  3. Step 3: Cross multiply
    147,641x = 203,755.54 × 83,999.30
  4. Step 4: Simplify right side
    147,641x = 17,115,322,731.12
  5. Step 5: Solve for x
    x = 17,115,322,731.12/147,641
  6. Step 6: Final answer
    x = 115,925.27

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1.5x scale

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.