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Finding the Fourth Proportional to 161,764.70, 242,647.05 and 139,214.30

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Solution

The fourth proportional to 161,764.70, 242,647.05 and 139,214.30 is: 208,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,764.70 : 242,647.05 = 139,214.30 : x
  2. Step 2: Convert to fraction form
    161,764.70/242,647.05 = 139,214.30/x
  3. Step 3: Cross multiply
    161,764.70x = 242,647.05 × 139,214.30
  4. Step 4: Simplify right side
    161,764.70x = 33,779,939,212.82
  5. Step 5: Solve for x
    x = 33,779,939,212.82/161,764.70
  6. Step 6: Final answer
    x = 208,821.45

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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.