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Finding the Fourth Proportional to 76,160.65, 105,094.40 and 42,167.90

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Solution

The fourth proportional to 76,160.65, 105,094.40 and 42,167.90 is: 58,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,160.65 : 105,094.40 = 42,167.90 : x
  2. Step 2: Convert to fraction form
    76,160.65/105,094.40 = 42,167.90/x
  3. Step 3: Cross multiply
    76,160.65x = 105,094.40 × 42,167.90
  4. Step 4: Simplify right side
    76,160.65x = 4,431,609,624.29
  5. Step 5: Solve for x
    x = 4,431,609,624.29/76,160.65
  6. Step 6: Final answer
    x = 58,187.65

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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.