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Finding the Fourth Proportional to 74,548.80, 102,878.16 and 40,557.48

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Solution

The fourth proportional to 74,548.80, 102,878.16 and 40,557.48 is: 55,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548.80 : 102,878.16 = 40,557.48 : x
  2. Step 2: Convert to fraction form
    74,548.80/102,878.16 = 40,557.48/x
  3. Step 3: Cross multiply
    74,548.80x = 102,878.16 × 40,557.48
  4. Step 4: Simplify right side
    74,548.80x = 4,172,478,916.64
  5. Step 5: Solve for x
    x = 4,172,478,916.64/74,548.80
  6. Step 6: Final answer
    x = 55,969.77

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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.