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Finding the Fourth Proportional to 81,462.55, 112,422.81 and 45,664.06

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Solution

The fourth proportional to 81,462.55, 112,422.81 and 45,664.06 is: 63,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.55 : 112,422.81 = 45,664.06 : x
  2. Step 2: Convert to fraction form
    81,462.55/112,422.81 = 45,664.06/x
  3. Step 3: Cross multiply
    81,462.55x = 112,422.81 × 45,664.06
  4. Step 4: Simplify right side
    81,462.55x = 5,133,681,941.21
  5. Step 5: Solve for x
    x = 5,133,681,941.21/81,462.55
  6. Step 6: Final answer
    x = 63,018.92

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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.