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Finding the Fourth Proportional to 119,552.64, 164,975.04 and 71,808

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Solution

The fourth proportional to 119,552.64, 164,975.04 and 71,808 is: 99,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,552.64 : 164,975.04 = 71,808 : x
  2. Step 2: Convert to fraction form
    119,552.64/164,975.04 = 71,808/x
  3. Step 3: Cross multiply
    119,552.64x = 164,975.04 × 71,808
  4. Step 4: Simplify right side
    119,552.64x = 11,846,527,672.32
  5. Step 5: Solve for x
    x = 11,846,527,672.32/119,552.64
  6. Step 6: Final answer
    x = 99,090.47

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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.