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Finding the Fourth Proportional to 134,642.65, 185,795.93 and 78,057.67

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Solution

The fourth proportional to 134,642.65, 185,795.93 and 78,057.67 is: 107,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.65 : 185,795.93 = 78,057.67 : x
  2. Step 2: Convert to fraction form
    134,642.65/185,795.93 = 78,057.67/x
  3. Step 3: Cross multiply
    134,642.65x = 185,795.93 × 78,057.67
  4. Step 4: Simplify right side
    134,642.65x = 14,502,797,391.28
  5. Step 5: Solve for x
    x = 14,502,797,391.28/134,642.65
  6. Step 6: Final answer
    x = 107,713.25

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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.