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Finding the Fourth Proportional to 51,989.67, 77,989.28 and 14,549.64

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Solution

The fourth proportional to 51,989.67, 77,989.28 and 14,549.64 is: 21,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989.67 : 77,989.28 = 14,549.64 : x
  2. Step 2: Convert to fraction form
    51,989.67/77,989.28 = 14,549.64/x
  3. Step 3: Cross multiply
    51,989.67x = 77,989.28 × 14,549.64
  4. Step 4: Simplify right side
    51,989.67x = 1,134,715,875.11
  5. Step 5: Solve for x
    x = 1,134,715,875.11/51,989.67
  6. Step 6: Final answer
    x = 21,825.79

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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.