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Finding the Fourth Proportional to 105,237.66, 158,566.93 and 86,927.88

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Solution

The fourth proportional to 105,237.66, 158,566.93 and 86,927.88 is: 130,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,237.66 : 158,566.93 = 86,927.88 : x
  2. Step 2: Convert to fraction form
    105,237.66/158,566.93 = 86,927.88/x
  3. Step 3: Cross multiply
    105,237.66x = 158,566.93 × 86,927.88
  4. Step 4: Simplify right side
    105,237.66x = 13,783,887,063.01
  5. Step 5: Solve for x
    x = 13,783,887,063.01/105,237.66
  6. Step 6: Final answer
    x = 130,978.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.