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Finding the Fourth Proportional to 53,303, 73,564.62 and 30,947

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Solution

The fourth proportional to 53,303, 73,564.62 and 30,947 is: 42,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303 : 73,564.62 = 30,947 : x
  2. Step 2: Convert to fraction form
    53,303/73,564.62 = 30,947/x
  3. Step 3: Cross multiply
    53,303x = 73,564.62 × 30,947
  4. Step 4: Simplify right side
    53,303x = 2,276,604,295.14
  5. Step 5: Solve for x
    x = 2,276,604,295.14/53,303
  6. Step 6: Final answer
    x = 42,710.62

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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.