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Finding the Fourth Proportional to 210,178.80, 314,749.80 and 139,676.40

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Solution

The fourth proportional to 210,178.80, 314,749.80 and 139,676.40 is: 209,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.80 : 314,749.80 = 139,676.40 : x
  2. Step 2: Convert to fraction form
    210,178.80/314,749.80 = 139,676.40/x
  3. Step 3: Cross multiply
    210,178.80x = 314,749.80 × 139,676.40
  4. Step 4: Simplify right side
    210,178.80x = 43,963,118,964.72
  5. Step 5: Solve for x
    x = 43,963,118,964.72/210,178.80
  6. Step 6: Final answer
    x = 209,170.09

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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.