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Finding the Fourth Proportional to 127,095, 190,642.50 and 43,989

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Solution

The fourth proportional to 127,095, 190,642.50 and 43,989 is: 65,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095 : 190,642.50 = 43,989 : x
  2. Step 2: Convert to fraction form
    127,095/190,642.50 = 43,989/x
  3. Step 3: Cross multiply
    127,095x = 190,642.50 × 43,989
  4. Step 4: Simplify right side
    127,095x = 8,386,172,932.50
  5. Step 5: Solve for x
    x = 8,386,172,932.50/127,095
  6. Step 6: Final answer
    x = 65,983.50

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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.