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Finding the Fourth Proportional to 142,642.84, 196,853.88 and 86,053

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Solution

The fourth proportional to 142,642.84, 196,853.88 and 86,053 is: 118,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.84 : 196,853.88 = 86,053 : x
  2. Step 2: Convert to fraction form
    142,642.84/196,853.88 = 86,053/x
  3. Step 3: Cross multiply
    142,642.84x = 196,853.88 × 86,053
  4. Step 4: Simplify right side
    142,642.84x = 16,939,866,935.64
  5. Step 5: Solve for x
    x = 16,939,866,935.64/142,642.84
  6. Step 6: Final answer
    x = 118,757.22

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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.