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Finding the Fourth Proportional to 103,548.52, 155,368.86 and 54,289

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Solution

The fourth proportional to 103,548.52, 155,368.86 and 54,289 is: 81,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,548.52 : 155,368.86 = 54,289 : x
  2. Step 2: Convert to fraction form
    103,548.52/155,368.86 = 54,289/x
  3. Step 3: Cross multiply
    103,548.52x = 155,368.86 × 54,289
  4. Step 4: Simplify right side
    103,548.52x = 8,434,820,040.54
  5. Step 5: Solve for x
    x = 8,434,820,040.54/103,548.52
  6. Step 6: Final answer
    x = 81,457.66

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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.