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Finding the Fourth Proportional to 106,995.88, 147,702 and 70,719.18

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Solution

The fourth proportional to 106,995.88, 147,702 and 70,719.18 is: 97,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,995.88 : 147,702 = 70,719.18 : x
  2. Step 2: Convert to fraction form
    106,995.88/147,702 = 70,719.18/x
  3. Step 3: Cross multiply
    106,995.88x = 147,702 × 70,719.18
  4. Step 4: Simplify right side
    106,995.88x = 10,445,364,324.36
  5. Step 5: Solve for x
    x = 10,445,364,324.36/106,995.88
  6. Step 6: Final answer
    x = 97,623.99

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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.