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Finding the Fourth Proportional to 134,511, 185,638.14 and 74,895

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Solution

The fourth proportional to 134,511, 185,638.14 and 74,895 is: 103,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,511 : 185,638.14 = 74,895 : x
  2. Step 2: Convert to fraction form
    134,511/185,638.14 = 74,895/x
  3. Step 3: Cross multiply
    134,511x = 185,638.14 × 74,895
  4. Step 4: Simplify right side
    134,511x = 13,903,368,495.30
  5. Step 5: Solve for x
    x = 13,903,368,495.30/134,511
  6. Step 6: Final answer
    x = 103,362.32

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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.