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Finding the Fourth Proportional to 76,472.02, 105,569.76 and 47,807.61

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Solution

The fourth proportional to 76,472.02, 105,569.76 and 47,807.61 is: 65,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.02 : 105,569.76 = 47,807.61 : x
  2. Step 2: Convert to fraction form
    76,472.02/105,569.76 = 47,807.61/x
  3. Step 3: Cross multiply
    76,472.02x = 105,569.76 × 47,807.61
  4. Step 4: Simplify right side
    76,472.02x = 5,047,037,913.87
  5. Step 5: Solve for x
    x = 5,047,037,913.87/76,472.02
  6. Step 6: Final answer
    x = 65,998.49

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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.