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Finding the Fourth Proportional to 76,867.65, 106,077.48 and 42,878.34

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Solution

The fourth proportional to 76,867.65, 106,077.48 and 42,878.34 is: 59,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867.65 : 106,077.48 = 42,878.34 : x
  2. Step 2: Convert to fraction form
    76,867.65/106,077.48 = 42,878.34/x
  3. Step 3: Cross multiply
    76,867.65x = 106,077.48 × 42,878.34
  4. Step 4: Simplify right side
    76,867.65x = 4,548,426,253.78
  5. Step 5: Solve for x
    x = 4,548,426,253.78/76,867.65
  6. Step 6: Final answer
    x = 59,172.18

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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.