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Finding the Fourth Proportional to 161,870.36, 242,805.54 and 51,071

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Solution

The fourth proportional to 161,870.36, 242,805.54 and 51,071 is: 76,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,870.36 : 242,805.54 = 51,071 : x
  2. Step 2: Convert to fraction form
    161,870.36/242,805.54 = 51,071/x
  3. Step 3: Cross multiply
    161,870.36x = 242,805.54 × 51,071
  4. Step 4: Simplify right side
    161,870.36x = 12,400,321,733.34
  5. Step 5: Solve for x
    x = 12,400,321,733.34/161,870.36
  6. Step 6: Final answer
    x = 76,606.50

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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.