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Finding the Fourth Proportional to 106,989.16, 147,716.76 and 66,719.20

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Solution

The fourth proportional to 106,989.16, 147,716.76 and 66,719.20 is: 92,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.16 : 147,716.76 = 66,719.20 : x
  2. Step 2: Convert to fraction form
    106,989.16/147,716.76 = 66,719.20/x
  3. Step 3: Cross multiply
    106,989.16x = 147,716.76 × 66,719.20
  4. Step 4: Simplify right side
    106,989.16x = 9,855,544,053.79
  5. Step 5: Solve for x
    x = 9,855,544,053.79/106,989.16
  6. Step 6: Final answer
    x = 92,117.22

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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.