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Finding the Fourth Proportional to 147,653.48, 203,747.46 and 83,978.60

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Solution

The fourth proportional to 147,653.48, 203,747.46 and 83,978.60 is: 115,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,653.48 : 203,747.46 = 83,978.60 : x
  2. Step 2: Convert to fraction form
    147,653.48/203,747.46 = 83,978.60/x
  3. Step 3: Cross multiply
    147,653.48x = 203,747.46 × 83,978.60
  4. Step 4: Simplify right side
    147,653.48x = 17,110,426,444.36
  5. Step 5: Solve for x
    x = 17,110,426,444.36/147,653.48
  6. Step 6: Final answer
    x = 115,882.31

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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.