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Finding the Fourth Proportional to 55,804.50, 77,010.21 and 30,654

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Solution

The fourth proportional to 55,804.50, 77,010.21 and 30,654 is: 42,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,804.50 : 77,010.21 = 30,654 : x
  2. Step 2: Convert to fraction form
    55,804.50/77,010.21 = 30,654/x
  3. Step 3: Cross multiply
    55,804.50x = 77,010.21 × 30,654
  4. Step 4: Simplify right side
    55,804.50x = 2,360,670,977.34
  5. Step 5: Solve for x
    x = 2,360,670,977.34/55,804.50
  6. Step 6: Final answer
    x = 42,302.52

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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.