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Finding the Fourth Proportional to 161,280.40, 242,048.56 and 86,455.84

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Solution

The fourth proportional to 161,280.40, 242,048.56 and 86,455.84 is: 129,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,280.40 : 242,048.56 = 86,455.84 : x
  2. Step 2: Convert to fraction form
    161,280.40/242,048.56 = 86,455.84/x
  3. Step 3: Cross multiply
    161,280.40x = 242,048.56 × 86,455.84
  4. Step 4: Simplify right side
    161,280.40x = 20,926,511,575.59
  5. Step 5: Solve for x
    x = 20,926,511,575.59/161,280.40
  6. Step 6: Final answer
    x = 129,752.35

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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.