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Finding the Fourth Proportional to 98,780, 136,316.40 and 54,068

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Solution

The fourth proportional to 98,780, 136,316.40 and 54,068 is: 74,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,780 : 136,316.40 = 54,068 : x
  2. Step 2: Convert to fraction form
    98,780/136,316.40 = 54,068/x
  3. Step 3: Cross multiply
    98,780x = 136,316.40 × 54,068
  4. Step 4: Simplify right side
    98,780x = 7,370,355,115.20
  5. Step 5: Solve for x
    x = 7,370,355,115.20/98,780
  6. Step 6: Final answer
    x = 74,613.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.