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Finding the Fourth Proportional to 98,798, 136,341.24 and 54,086

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Solution

The fourth proportional to 98,798, 136,341.24 and 54,086 is: 74,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,798 : 136,341.24 = 54,086 : x
  2. Step 2: Convert to fraction form
    98,798/136,341.24 = 54,086/x
  3. Step 3: Cross multiply
    98,798x = 136,341.24 × 54,086
  4. Step 4: Simplify right side
    98,798x = 7,374,152,306.64
  5. Step 5: Solve for x
    x = 7,374,152,306.64/98,798
  6. Step 6: Final answer
    x = 74,638.68

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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.