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Finding the Fourth Proportional to 134,643.65, 185,797.31 and 78,058.67

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Solution

The fourth proportional to 134,643.65, 185,797.31 and 78,058.67 is: 107,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,643.65 : 185,797.31 = 78,058.67 : x
  2. Step 2: Convert to fraction form
    134,643.65/185,797.31 = 78,058.67/x
  3. Step 3: Cross multiply
    134,643.65x = 185,797.31 × 78,058.67
  4. Step 4: Simplify right side
    134,643.65x = 14,503,090,908.18
  5. Step 5: Solve for x
    x = 14,503,090,908.18/134,643.65
  6. Step 6: Final answer
    x = 107,714.63

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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.