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Finding the Fourth Proportional to 113,432.58, 156,546 and 65,686.77

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Solution

The fourth proportional to 113,432.58, 156,546 and 65,686.77 is: 90,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,432.58 : 156,546 = 65,686.77 : x
  2. Step 2: Convert to fraction form
    113,432.58/156,546 = 65,686.77/x
  3. Step 3: Cross multiply
    113,432.58x = 156,546 × 65,686.77
  4. Step 4: Simplify right side
    113,432.58x = 10,283,001,096.42
  5. Step 5: Solve for x
    x = 10,283,001,096.42/113,432.58
  6. Step 6: Final answer
    x = 90,652.98

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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.