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Finding the Fourth Proportional to 113,880.40, 157,220.52 and 75,691.72

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Solution

The fourth proportional to 113,880.40, 157,220.52 and 75,691.72 is: 104,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,880.40 : 157,220.52 = 75,691.72 : x
  2. Step 2: Convert to fraction form
    113,880.40/157,220.52 = 75,691.72/x
  3. Step 3: Cross multiply
    113,880.40x = 157,220.52 × 75,691.72
  4. Step 4: Simplify right side
    113,880.40x = 11,900,291,578.09
  5. Step 5: Solve for x
    x = 11,900,291,578.09/113,880.40
  6. Step 6: Final answer
    x = 104,498.15

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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.