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Finding the Fourth Proportional to 100,804.50, 139,110.21 and 56,092.50

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Solution

The fourth proportional to 100,804.50, 139,110.21 and 56,092.50 is: 77,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804.50 : 139,110.21 = 56,092.50 : x
  2. Step 2: Convert to fraction form
    100,804.50/139,110.21 = 56,092.50/x
  3. Step 3: Cross multiply
    100,804.50x = 139,110.21 × 56,092.50
  4. Step 4: Simplify right side
    100,804.50x = 7,803,039,454.43
  5. Step 5: Solve for x
    x = 7,803,039,454.43/100,804.50
  6. Step 6: Final answer
    x = 77,407.65

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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.