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Finding the Fourth Proportional to 76,671.52, 105,810.66 and 42,680.08

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Solution

The fourth proportional to 76,671.52, 105,810.66 and 42,680.08 is: 58,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.52 : 105,810.66 = 42,680.08 : x
  2. Step 2: Convert to fraction form
    76,671.52/105,810.66 = 42,680.08/x
  3. Step 3: Cross multiply
    76,671.52x = 105,810.66 × 42,680.08
  4. Step 4: Simplify right side
    76,671.52x = 4,516,007,433.65
  5. Step 5: Solve for x
    x = 4,516,007,433.65/76,671.52
  6. Step 6: Final answer
    x = 58,900.72

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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.