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Finding the Fourth Proportional to 75,165.93, 112,754.16 and 30,187.29

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Solution

The fourth proportional to 75,165.93, 112,754.16 and 30,187.29 is: 45,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165.93 : 112,754.16 = 30,187.29 : x
  2. Step 2: Convert to fraction form
    75,165.93/112,754.16 = 30,187.29/x
  3. Step 3: Cross multiply
    75,165.93x = 112,754.16 × 30,187.29
  4. Step 4: Simplify right side
    75,165.93x = 3,403,742,526.63
  5. Step 5: Solve for x
    x = 3,403,742,526.63/75,165.93
  6. Step 6: Final answer
    x = 45,283.05

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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.