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Finding the Fourth Proportional to 51,461, 77,191.50 and 12,549

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Solution

The fourth proportional to 51,461, 77,191.50 and 12,549 is: 18,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,461 : 77,191.50 = 12,549 : x
  2. Step 2: Convert to fraction form
    51,461/77,191.50 = 12,549/x
  3. Step 3: Cross multiply
    51,461x = 77,191.50 × 12,549
  4. Step 4: Simplify right side
    51,461x = 968,676,133.50
  5. Step 5: Solve for x
    x = 968,676,133.50/51,461
  6. Step 6: Final answer
    x = 18,823.50

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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.