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Finding the Fourth Proportional to 134,643.47, 185,797.06 and 78,058.49

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Solution

The fourth proportional to 134,643.47, 185,797.06 and 78,058.49 is: 107,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,643.47 : 185,797.06 = 78,058.49 : x
  2. Step 2: Convert to fraction form
    134,643.47/185,797.06 = 78,058.49/x
  3. Step 3: Cross multiply
    134,643.47x = 185,797.06 × 78,058.49
  4. Step 4: Simplify right side
    134,643.47x = 14,503,036,825.91
  5. Step 5: Solve for x
    x = 14,503,036,825.91/134,643.47
  6. Step 6: Final answer
    x = 107,714.38

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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.