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Finding the Fourth Proportional to 105,437.23, 157,980.88 and 74,206.87

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Solution

The fourth proportional to 105,437.23, 157,980.88 and 74,206.87 is: 111,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,437.23 : 157,980.88 = 74,206.87 : x
  2. Step 2: Convert to fraction form
    105,437.23/157,980.88 = 74,206.87/x
  3. Step 3: Cross multiply
    105,437.23x = 157,980.88 × 74,206.87
  4. Step 4: Simplify right side
    105,437.23x = 11,723,266,624.65
  5. Step 5: Solve for x
    x = 11,723,266,624.65/105,437.23
  6. Step 6: Final answer
    x = 111,187.16

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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.