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Finding the Fourth Proportional to 89,020.84, 122,848.50 and 51,295

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Solution

The fourth proportional to 89,020.84, 122,848.50 and 51,295 is: 70,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,020.84 : 122,848.50 = 51,295 : x
  2. Step 2: Convert to fraction form
    89,020.84/122,848.50 = 51,295/x
  3. Step 3: Cross multiply
    89,020.84x = 122,848.50 × 51,295
  4. Step 4: Simplify right side
    89,020.84x = 6,301,513,807.50
  5. Step 5: Solve for x
    x = 6,301,513,807.50/89,020.84
  6. Step 6: Final answer
    x = 70,786.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.