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Finding the Fourth Proportional to 205,689.56, 308,557 and 65,415.36

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Solution

The fourth proportional to 205,689.56, 308,557 and 65,415.36 is: 98,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689.56 : 308,557 = 65,415.36 : x
  2. Step 2: Convert to fraction form
    205,689.56/308,557 = 65,415.36/x
  3. Step 3: Cross multiply
    205,689.56x = 308,557 × 65,415.36
  4. Step 4: Simplify right side
    205,689.56x = 20,184,367,235.52
  5. Step 5: Solve for x
    x = 20,184,367,235.52/205,689.56
  6. Step 6: Final answer
    x = 98,130.25

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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.