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Finding the Fourth Proportional to 75,291.66, 112,870.49 and 28,577.34

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Solution

The fourth proportional to 75,291.66, 112,870.49 and 28,577.34 is: 42,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291.66 : 112,870.49 = 28,577.34 : x
  2. Step 2: Convert to fraction form
    75,291.66/112,870.49 = 28,577.34/x
  3. Step 3: Cross multiply
    75,291.66x = 112,870.49 × 28,577.34
  4. Step 4: Simplify right side
    75,291.66x = 3,225,538,225.81
  5. Step 5: Solve for x
    x = 3,225,538,225.81/75,291.66
  6. Step 6: Final answer
    x = 42,840.58

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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.