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Finding the Fourth Proportional to 78,482.98, 117,798.45 and 28,611.28

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Solution

The fourth proportional to 78,482.98, 117,798.45 and 28,611.28 is: 42,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.98 : 117,798.45 = 28,611.28 : x
  2. Step 2: Convert to fraction form
    78,482.98/117,798.45 = 28,611.28/x
  3. Step 3: Cross multiply
    78,482.98x = 117,798.45 × 28,611.28
  4. Step 4: Simplify right side
    78,482.98x = 3,370,364,436.52
  5. Step 5: Solve for x
    x = 3,370,364,436.52/78,482.98
  6. Step 6: Final answer
    x = 42,943.89

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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.