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Finding the Fourth Proportional to 113,760, 156,988.80 and 63,459

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Solution

The fourth proportional to 113,760, 156,988.80 and 63,459 is: 87,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,760 : 156,988.80 = 63,459 : x
  2. Step 2: Convert to fraction form
    113,760/156,988.80 = 63,459/x
  3. Step 3: Cross multiply
    113,760x = 156,988.80 × 63,459
  4. Step 4: Simplify right side
    113,760x = 9,962,352,259.20
  5. Step 5: Solve for x
    x = 9,962,352,259.20/113,760
  6. Step 6: Final answer
    x = 87,573.42

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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.