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Finding the Fourth Proportional to 113,752.30, 156,977.10 and 62,765.50

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Solution

The fourth proportional to 113,752.30, 156,977.10 and 62,765.50 is: 86,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,752.30 : 156,977.10 = 62,765.50 : x
  2. Step 2: Convert to fraction form
    113,752.30/156,977.10 = 62,765.50/x
  3. Step 3: Cross multiply
    113,752.30x = 156,977.10 × 62,765.50
  4. Step 4: Simplify right side
    113,752.30x = 9,852,746,170.05
  5. Step 5: Solve for x
    x = 9,852,746,170.05/113,752.30
  6. Step 6: Final answer
    x = 86,615.80

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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.