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Finding the Fourth Proportional to 52,045.94, 78,069.12 and 12,603

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Solution

The fourth proportional to 52,045.94, 78,069.12 and 12,603 is: 18,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.94 : 78,069.12 = 12,603 : x
  2. Step 2: Convert to fraction form
    52,045.94/78,069.12 = 12,603/x
  3. Step 3: Cross multiply
    52,045.94x = 78,069.12 × 12,603
  4. Step 4: Simplify right side
    52,045.94x = 983,905,119.36
  5. Step 5: Solve for x
    x = 983,905,119.36/52,045.94
  6. Step 6: Final answer
    x = 18,904.55

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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.