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Finding the Fourth Proportional to 85,992.72, 129,026.04 and 46,578

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Solution

The fourth proportional to 85,992.72, 129,026.04 and 46,578 is: 69,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,992.72 : 129,026.04 = 46,578 : x
  2. Step 2: Convert to fraction form
    85,992.72/129,026.04 = 46,578/x
  3. Step 3: Cross multiply
    85,992.72x = 129,026.04 × 46,578
  4. Step 4: Simplify right side
    85,992.72x = 6,009,774,891.12
  5. Step 5: Solve for x
    x = 6,009,774,891.12/85,992.72
  6. Step 6: Final answer
    x = 69,887.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.