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Finding the Fourth Proportional to 104,333.76, 143,978.40 and 56,585.28

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Solution

The fourth proportional to 104,333.76, 143,978.40 and 56,585.28 is: 78,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,333.76 : 143,978.40 = 56,585.28 : x
  2. Step 2: Convert to fraction form
    104,333.76/143,978.40 = 56,585.28/x
  3. Step 3: Cross multiply
    104,333.76x = 143,978.40 × 56,585.28
  4. Step 4: Simplify right side
    104,333.76x = 8,147,058,077.95
  5. Step 5: Solve for x
    x = 8,147,058,077.95/104,333.76
  6. Step 6: Final answer
    x = 78,086.50

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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.