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Finding the Fourth Proportional to 100,858.50, 139,194.45 and 56,146.50

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Solution

The fourth proportional to 100,858.50, 139,194.45 and 56,146.50 is: 77,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.50 : 139,194.45 = 56,146.50 : x
  2. Step 2: Convert to fraction form
    100,858.50/139,194.45 = 56,146.50/x
  3. Step 3: Cross multiply
    100,858.50x = 139,194.45 × 56,146.50
  4. Step 4: Simplify right side
    100,858.50x = 7,815,281,186.93
  5. Step 5: Solve for x
    x = 7,815,281,186.93/100,858.50
  6. Step 6: Final answer
    x = 77,487.58

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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.