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Finding the Fourth Proportional to 119,148.80, 164,419.80 and 71,428.64

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Solution

The fourth proportional to 119,148.80, 164,419.80 and 71,428.64 is: 98,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,148.80 : 164,419.80 = 71,428.64 : x
  2. Step 2: Convert to fraction form
    119,148.80/164,419.80 = 71,428.64/x
  3. Step 3: Cross multiply
    119,148.80x = 164,419.80 × 71,428.64
  4. Step 4: Simplify right side
    119,148.80x = 11,744,282,703.07
  5. Step 5: Solve for x
    x = 11,744,282,703.07/119,148.80
  6. Step 6: Final answer
    x = 98,568.20

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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.