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Finding the Fourth Proportional to 48,299, 72,455.26 and 45,643

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Solution

The fourth proportional to 48,299, 72,455.26 and 45,643 is: 68,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,299 : 72,455.26 = 45,643 : x
  2. Step 2: Convert to fraction form
    48,299/72,455.26 = 45,643/x
  3. Step 3: Cross multiply
    48,299x = 72,455.26 × 45,643
  4. Step 4: Simplify right side
    48,299x = 3,307,075,432.18
  5. Step 5: Solve for x
    x = 3,307,075,432.18/48,299
  6. Step 6: Final answer
    x = 68,470.89

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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.