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Finding the Fourth Proportional to 45,509.50, 68,275.77 and 12,677.50

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Solution

The fourth proportional to 45,509.50, 68,275.77 and 12,677.50 is: 19,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509.50 : 68,275.77 = 12,677.50 : x
  2. Step 2: Convert to fraction form
    45,509.50/68,275.77 = 12,677.50/x
  3. Step 3: Cross multiply
    45,509.50x = 68,275.77 × 12,677.50
  4. Step 4: Simplify right side
    45,509.50x = 865,566,074.18
  5. Step 5: Solve for x
    x = 865,566,074.18/45,509.50
  6. Step 6: Final answer
    x = 19,019.46

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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.