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Finding the Fourth Proportional to 201,457.49, 278,005.52 and 110,813.45

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Solution

The fourth proportional to 201,457.49, 278,005.52 and 110,813.45 is: 152,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,457.49 : 278,005.52 = 110,813.45 : x
  2. Step 2: Convert to fraction form
    201,457.49/278,005.52 = 110,813.45/x
  3. Step 3: Cross multiply
    201,457.49x = 278,005.52 × 110,813.45
  4. Step 4: Simplify right side
    201,457.49x = 30,806,748,846.15
  5. Step 5: Solve for x
    x = 30,806,748,846.15/201,457.49
  6. Step 6: Final answer
    x = 152,919.36

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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.