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Finding the Fourth Proportional to 86,653.82, 129,988.02 and 30,488.01

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Solution

The fourth proportional to 86,653.82, 129,988.02 and 30,488.01 is: 45,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,653.82 : 129,988.02 = 30,488.01 : x
  2. Step 2: Convert to fraction form
    86,653.82/129,988.02 = 30,488.01/x
  3. Step 3: Cross multiply
    86,653.82x = 129,988.02 × 30,488.01
  4. Step 4: Simplify right side
    86,653.82x = 3,963,076,053.64
  5. Step 5: Solve for x
    x = 3,963,076,053.64/86,653.82
  6. Step 6: Final answer
    x = 45,734.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.