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Finding the Fourth Proportional to 75,319.80, 112,980.35 and 19,159.96

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Solution

The fourth proportional to 75,319.80, 112,980.35 and 19,159.96 is: 28,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319.80 : 112,980.35 = 19,159.96 : x
  2. Step 2: Convert to fraction form
    75,319.80/112,980.35 = 19,159.96/x
  3. Step 3: Cross multiply
    75,319.80x = 112,980.35 × 19,159.96
  4. Step 4: Simplify right side
    75,319.80x = 2,164,698,608.54
  5. Step 5: Solve for x
    x = 2,164,698,608.54/75,319.80
  6. Step 6: Final answer
    x = 28,740.10

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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.