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Finding the Fourth Proportional to 76,961.39, 106,205.68 and 42,970.40

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Solution

The fourth proportional to 76,961.39, 106,205.68 and 42,970.40 is: 59,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961.39 : 106,205.68 = 42,970.40 : x
  2. Step 2: Convert to fraction form
    76,961.39/106,205.68 = 42,970.40/x
  3. Step 3: Cross multiply
    76,961.39x = 106,205.68 × 42,970.40
  4. Step 4: Simplify right side
    76,961.39x = 4,563,700,286.36
  5. Step 5: Solve for x
    x = 4,563,700,286.36/76,961.39
  6. Step 6: Final answer
    x = 59,298.57

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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.