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Finding the Fourth Proportional to 85,345.36, 127,770.16 and 49,698

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Solution

The fourth proportional to 85,345.36, 127,770.16 and 49,698 is: 74,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,345.36 : 127,770.16 = 49,698 : x
  2. Step 2: Convert to fraction form
    85,345.36/127,770.16 = 49,698/x
  3. Step 3: Cross multiply
    85,345.36x = 127,770.16 × 49,698
  4. Step 4: Simplify right side
    85,345.36x = 6,349,921,411.68
  5. Step 5: Solve for x
    x = 6,349,921,411.68/85,345.36
  6. Step 6: Final answer
    x = 74,402.66

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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.