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Finding the Fourth Proportional to 76,471.94, 105,548.16 and 42,492.11

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Solution

The fourth proportional to 76,471.94, 105,548.16 and 42,492.11 is: 58,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.94 : 105,548.16 = 42,492.11 : x
  2. Step 2: Convert to fraction form
    76,471.94/105,548.16 = 42,492.11/x
  3. Step 3: Cross multiply
    76,471.94x = 105,548.16 × 42,492.11
  4. Step 4: Simplify right side
    76,471.94x = 4,484,963,497.28
  5. Step 5: Solve for x
    x = 4,484,963,497.28/76,471.94
  6. Step 6: Final answer
    x = 58,648.49

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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.