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Finding the Fourth Proportional to 76,176.70, 105,123.54 and 42,642.70

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Solution

The fourth proportional to 76,176.70, 105,123.54 and 42,642.70 is: 58,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176.70 : 105,123.54 = 42,642.70 : x
  2. Step 2: Convert to fraction form
    76,176.70/105,123.54 = 42,642.70/x
  3. Step 3: Cross multiply
    76,176.70x = 105,123.54 × 42,642.70
  4. Step 4: Simplify right side
    76,176.70x = 4,482,751,579.16
  5. Step 5: Solve for x
    x = 4,482,751,579.16/76,176.70
  6. Step 6: Final answer
    x = 58,846.75

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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.