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Finding the Fourth Proportional to 210,174.80, 314,743.80 and 139,672.40

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Solution

The fourth proportional to 210,174.80, 314,743.80 and 139,672.40 is: 209,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,174.80 : 314,743.80 = 139,672.40 : x
  2. Step 2: Convert to fraction form
    210,174.80/314,743.80 = 139,672.40/x
  3. Step 3: Cross multiply
    210,174.80x = 314,743.80 × 139,672.40
  4. Step 4: Simplify right side
    210,174.80x = 43,961,021,931.12
  5. Step 5: Solve for x
    x = 43,961,021,931.12/210,174.80
  6. Step 6: Final answer
    x = 209,164.10

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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.