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Finding the Fourth Proportional to 148,509.80, 204,941.04 and 83,978

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Solution

The fourth proportional to 148,509.80, 204,941.04 and 83,978 is: 115,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,509.80 : 204,941.04 = 83,978 : x
  2. Step 2: Convert to fraction form
    148,509.80/204,941.04 = 83,978/x
  3. Step 3: Cross multiply
    148,509.80x = 204,941.04 × 83,978
  4. Step 4: Simplify right side
    148,509.80x = 17,210,538,657.12
  5. Step 5: Solve for x
    x = 17,210,538,657.12/148,509.80
  6. Step 6: Final answer
    x = 115,888.24

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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.