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Finding the Fourth Proportional to 100,999.76, 139,380.36 and 56,290.64

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Solution

The fourth proportional to 100,999.76, 139,380.36 and 56,290.64 is: 77,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999.76 : 139,380.36 = 56,290.64 : x
  2. Step 2: Convert to fraction form
    100,999.76/139,380.36 = 56,290.64/x
  3. Step 3: Cross multiply
    100,999.76x = 139,380.36 × 56,290.64
  4. Step 4: Simplify right side
    100,999.76x = 7,845,809,667.83
  5. Step 5: Solve for x
    x = 7,845,809,667.83/100,999.76
  6. Step 6: Final answer
    x = 77,681.47

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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.