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Finding the Fourth Proportional to 68,075.86, 102,051.54 and 28,635.76

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Solution

The fourth proportional to 68,075.86, 102,051.54 and 28,635.76 is: 42,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,075.86 : 102,051.54 = 28,635.76 : x
  2. Step 2: Convert to fraction form
    68,075.86/102,051.54 = 28,635.76/x
  3. Step 3: Cross multiply
    68,075.86x = 102,051.54 × 28,635.76
  4. Step 4: Simplify right side
    68,075.86x = 2,922,323,407.07
  5. Step 5: Solve for x
    x = 2,922,323,407.07/68,075.86
  6. Step 6: Final answer
    x = 42,927.45

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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.