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Finding the Fourth Proportional to 74,785.95, 112,175.82 and 30,411

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Solution

The fourth proportional to 74,785.95, 112,175.82 and 30,411 is: 45,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,785.95 : 112,175.82 = 30,411 : x
  2. Step 2: Convert to fraction form
    74,785.95/112,175.82 = 30,411/x
  3. Step 3: Cross multiply
    74,785.95x = 112,175.82 × 30,411
  4. Step 4: Simplify right side
    74,785.95x = 3,411,378,862.02
  5. Step 5: Solve for x
    x = 3,411,378,862.02/74,785.95
  6. Step 6: Final answer
    x = 45,615.24

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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.