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Finding the Fourth Proportional to 113,778, 157,021.20 and 63,478.08

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Solution

The fourth proportional to 113,778, 157,021.20 and 63,478.08 is: 87,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,778 : 157,021.20 = 63,478.08 : x
  2. Step 2: Convert to fraction form
    113,778/157,021.20 = 63,478.08/x
  3. Step 3: Cross multiply
    113,778x = 157,021.20 × 63,478.08
  4. Step 4: Simplify right side
    113,778x = 9,967,404,295.30
  5. Step 5: Solve for x
    x = 9,967,404,295.30/113,778
  6. Step 6: Final answer
    x = 87,603.97

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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.