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Finding the Fourth Proportional to 70,134.48, 105,006.52 and 54,582.48

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Solution

The fourth proportional to 70,134.48, 105,006.52 and 54,582.48 is: 81,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,134.48 : 105,006.52 = 54,582.48 : x
  2. Step 2: Convert to fraction form
    70,134.48/105,006.52 = 54,582.48/x
  3. Step 3: Cross multiply
    70,134.48x = 105,006.52 × 54,582.48
  4. Step 4: Simplify right side
    70,134.48x = 5,731,516,277.77
  5. Step 5: Solve for x
    x = 5,731,516,277.77/70,134.48
  6. Step 6: Final answer
    x = 81,721.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.