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Finding the Fourth Proportional to 163,878.17, 245,815.89 and 45,549.17

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Solution

The fourth proportional to 163,878.17, 245,815.89 and 45,549.17 is: 68,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,878.17 : 245,815.89 = 45,549.17 : x
  2. Step 2: Convert to fraction form
    163,878.17/245,815.89 = 45,549.17/x
  3. Step 3: Cross multiply
    163,878.17x = 245,815.89 × 45,549.17
  4. Step 4: Simplify right side
    163,878.17x = 11,196,709,284.23
  5. Step 5: Solve for x
    x = 11,196,709,284.23/163,878.17
  6. Step 6: Final answer
    x = 68,323.37

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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.