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Finding the Fourth Proportional to 76,714.57, 105,866.14 and 42,729.58

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Solution

The fourth proportional to 76,714.57, 105,866.14 and 42,729.58 is: 58,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714.57 : 105,866.14 = 42,729.58 : x
  2. Step 2: Convert to fraction form
    76,714.57/105,866.14 = 42,729.58/x
  3. Step 3: Cross multiply
    76,714.57x = 105,866.14 × 42,729.58
  4. Step 4: Simplify right side
    76,714.57x = 4,523,615,208.55
  5. Step 5: Solve for x
    x = 4,523,615,208.55/76,714.57
  6. Step 6: Final answer
    x = 58,966.83

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1.5x scale

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.