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Finding the Fourth Proportional to 113,817.76, 157,084.33 and 63,520

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Solution

The fourth proportional to 113,817.76, 157,084.33 and 63,520 is: 87,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,817.76 : 157,084.33 = 63,520 : x
  2. Step 2: Convert to fraction form
    113,817.76/157,084.33 = 63,520/x
  3. Step 3: Cross multiply
    113,817.76x = 157,084.33 × 63,520
  4. Step 4: Simplify right side
    113,817.76x = 9,977,996,641.60
  5. Step 5: Solve for x
    x = 9,977,996,641.60/113,817.76
  6. Step 6: Final answer
    x = 87,666.43

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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.