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Finding the Fourth Proportional to 76,321.08, 105,322.41 and 42,787.08

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Solution

The fourth proportional to 76,321.08, 105,322.41 and 42,787.08 is: 59,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.08 : 105,322.41 = 42,787.08 : x
  2. Step 2: Convert to fraction form
    76,321.08/105,322.41 = 42,787.08/x
  3. Step 3: Cross multiply
    76,321.08x = 105,322.41 × 42,787.08
  4. Step 4: Simplify right side
    76,321.08x = 4,506,438,382.46
  5. Step 5: Solve for x
    x = 4,506,438,382.46/76,321.08
  6. Step 6: Final answer
    x = 59,045.79

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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.