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Finding the Fourth Proportional to 89,978.94, 134,954.57 and 30,008.47

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Solution

The fourth proportional to 89,978.94, 134,954.57 and 30,008.47 is: 45,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.94 : 134,954.57 = 30,008.47 : x
  2. Step 2: Convert to fraction form
    89,978.94/134,954.57 = 30,008.47/x
  3. Step 3: Cross multiply
    89,978.94x = 134,954.57 × 30,008.47
  4. Step 4: Simplify right side
    89,978.94x = 4,049,779,677.78
  5. Step 5: Solve for x
    x = 4,049,779,677.78/89,978.94
  6. Step 6: Final answer
    x = 45,008.08

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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.