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Finding the Fourth Proportional to 205,509, 308,263.50 and 57,765

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Solution

The fourth proportional to 205,509, 308,263.50 and 57,765 is: 86,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509 : 308,263.50 = 57,765 : x
  2. Step 2: Convert to fraction form
    205,509/308,263.50 = 57,765/x
  3. Step 3: Cross multiply
    205,509x = 308,263.50 × 57,765
  4. Step 4: Simplify right side
    205,509x = 17,806,841,077.50
  5. Step 5: Solve for x
    x = 17,806,841,077.50/205,509
  6. Step 6: Final answer
    x = 86,647.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.