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Finding the Fourth Proportional to 75,140.98, 112,718.98 and 27,768.51

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Solution

The fourth proportional to 75,140.98, 112,718.98 and 27,768.51 is: 41,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140.98 : 112,718.98 = 27,768.51 : x
  2. Step 2: Convert to fraction form
    75,140.98/112,718.98 = 27,768.51/x
  3. Step 3: Cross multiply
    75,140.98x = 112,718.98 × 27,768.51
  4. Step 4: Simplify right side
    75,140.98x = 3,130,038,158.03
  5. Step 5: Solve for x
    x = 3,130,038,158.03/75,140.98
  6. Step 6: Final answer
    x = 41,655.54

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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.