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Finding the Fourth Proportional to 127,058.95, 190,540 and 42,796.50

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Solution

The fourth proportional to 127,058.95, 190,540 and 42,796.50 is: 64,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,058.95 : 190,540 = 42,796.50 : x
  2. Step 2: Convert to fraction form
    127,058.95/190,540 = 42,796.50/x
  3. Step 3: Cross multiply
    127,058.95x = 190,540 × 42,796.50
  4. Step 4: Simplify right side
    127,058.95x = 8,154,445,110
  5. Step 5: Solve for x
    x = 8,154,445,110/127,058.95
  6. Step 6: Final answer
    x = 64,178.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.