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Finding the Fourth Proportional to 91,014.82, 136,509.47 and 38,412

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Solution

The fourth proportional to 91,014.82, 136,509.47 and 38,412 is: 57,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014.82 : 136,509.47 = 38,412 : x
  2. Step 2: Convert to fraction form
    91,014.82/136,509.47 = 38,412/x
  3. Step 3: Cross multiply
    91,014.82x = 136,509.47 × 38,412
  4. Step 4: Simplify right side
    91,014.82x = 5,243,601,713.63
  5. Step 5: Solve for x
    x = 5,243,601,713.63/91,014.82
  6. Step 6: Final answer
    x = 57,612.62

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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.