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Finding the Fourth Proportional to 76,930.85, 106,164.28 and 42,939.40

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Solution

The fourth proportional to 76,930.85, 106,164.28 and 42,939.40 is: 59,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.85 : 106,164.28 = 42,939.40 : x
  2. Step 2: Convert to fraction form
    76,930.85/106,164.28 = 42,939.40/x
  3. Step 3: Cross multiply
    76,930.85x = 106,164.28 × 42,939.40
  4. Step 4: Simplify right side
    76,930.85x = 4,558,630,484.63
  5. Step 5: Solve for x
    x = 4,558,630,484.63/76,930.85
  6. Step 6: Final answer
    x = 59,256.21

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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.