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Finding the Fourth Proportional to 149,055.65, 205,678.12 and 100,762.65

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Solution

The fourth proportional to 149,055.65, 205,678.12 and 100,762.65 is: 139,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,055.65 : 205,678.12 = 100,762.65 : x
  2. Step 2: Convert to fraction form
    149,055.65/205,678.12 = 100,762.65/x
  3. Step 3: Cross multiply
    149,055.65x = 205,678.12 × 100,762.65
  4. Step 4: Simplify right side
    149,055.65x = 20,724,672,888.80
  5. Step 5: Solve for x
    x = 20,724,672,888.80/149,055.65
  6. Step 6: Final answer
    x = 139,039.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.