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Finding the Fourth Proportional to 76,472.91, 105,529.05 and 42,483.60

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Solution

The fourth proportional to 76,472.91, 105,529.05 and 42,483.60 is: 58,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.91 : 105,529.05 = 42,483.60 : x
  2. Step 2: Convert to fraction form
    76,472.91/105,529.05 = 42,483.60/x
  3. Step 3: Cross multiply
    76,472.91x = 105,529.05 × 42,483.60
  4. Step 4: Simplify right side
    76,472.91x = 4,483,253,948.58
  5. Step 5: Solve for x
    x = 4,483,253,948.58/76,472.91
  6. Step 6: Final answer
    x = 58,625.39

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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.