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Finding the Fourth Proportional to 113,813.76, 157,078.80 and 63,516

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Solution

The fourth proportional to 113,813.76, 157,078.80 and 63,516 is: 87,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,813.76 : 157,078.80 = 63,516 : x
  2. Step 2: Convert to fraction form
    113,813.76/157,078.80 = 63,516/x
  3. Step 3: Cross multiply
    113,813.76x = 157,078.80 × 63,516
  4. Step 4: Simplify right side
    113,813.76x = 9,977,017,060.80
  5. Step 5: Solve for x
    x = 9,977,017,060.80/113,813.76
  6. Step 6: Final answer
    x = 87,660.90

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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.