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Finding the Fourth Proportional to 105,266.80, 157,669.80 and 91,442.80

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Solution

The fourth proportional to 105,266.80, 157,669.80 and 91,442.80 is: 136,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.80 : 157,669.80 = 91,442.80 : x
  2. Step 2: Convert to fraction form
    105,266.80/157,669.80 = 91,442.80/x
  3. Step 3: Cross multiply
    105,266.80x = 157,669.80 × 91,442.80
  4. Step 4: Simplify right side
    105,266.80x = 14,417,767,987.44
  5. Step 5: Solve for x
    x = 14,417,767,987.44/105,266.80
  6. Step 6: Final answer
    x = 136,964.06

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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.