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Finding the Fourth Proportional to 81,395.84, 112,327.74 and 49,130.50

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Solution

The fourth proportional to 81,395.84, 112,327.74 and 49,130.50 is: 67,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,395.84 : 112,327.74 = 49,130.50 : x
  2. Step 2: Convert to fraction form
    81,395.84/112,327.74 = 49,130.50/x
  3. Step 3: Cross multiply
    81,395.84x = 112,327.74 × 49,130.50
  4. Step 4: Simplify right side
    81,395.84x = 5,518,718,030.07
  5. Step 5: Solve for x
    x = 5,518,718,030.07/81,395.84
  6. Step 6: Final answer
    x = 67,800.98

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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.