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Finding the Fourth Proportional to 151,427.08, 208,978.63 and 83,444.06

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Solution

The fourth proportional to 151,427.08, 208,978.63 and 83,444.06 is: 115,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,427.08 : 208,978.63 = 83,444.06 : x
  2. Step 2: Convert to fraction form
    151,427.08/208,978.63 = 83,444.06/x
  3. Step 3: Cross multiply
    151,427.08x = 208,978.63 × 83,444.06
  4. Step 4: Simplify right side
    151,427.08x = 17,438,025,340.44
  5. Step 5: Solve for x
    x = 17,438,025,340.44/151,427.08
  6. Step 6: Final answer
    x = 115,157.91

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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.