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Finding the Fourth Proportional to 78,488.62, 117,661.70 and 28,533.42

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Solution

The fourth proportional to 78,488.62, 117,661.70 and 28,533.42 is: 42,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488.62 : 117,661.70 = 28,533.42 : x
  2. Step 2: Convert to fraction form
    78,488.62/117,661.70 = 28,533.42/x
  3. Step 3: Cross multiply
    78,488.62x = 117,661.70 × 28,533.42
  4. Step 4: Simplify right side
    78,488.62x = 3,357,290,775.35
  5. Step 5: Solve for x
    x = 3,357,290,775.35/78,488.62
  6. Step 6: Final answer
    x = 42,774.24

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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.