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Finding the Fourth Proportional to 86,764, 119,734.40 and 47,020

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Solution

The fourth proportional to 86,764, 119,734.40 and 47,020 is: 64,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,764 : 119,734.40 = 47,020 : x
  2. Step 2: Convert to fraction form
    86,764/119,734.40 = 47,020/x
  3. Step 3: Cross multiply
    86,764x = 119,734.40 × 47,020
  4. Step 4: Simplify right side
    86,764x = 5,629,911,488
  5. Step 5: Solve for x
    x = 5,629,911,488/86,764
  6. Step 6: Final answer
    x = 64,887.64

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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.