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Finding the Fourth Proportional to 83,698.74, 115,491.29 and 53,510.85

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Solution

The fourth proportional to 83,698.74, 115,491.29 and 53,510.85 is: 73,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.74 : 115,491.29 = 53,510.85 : x
  2. Step 2: Convert to fraction form
    83,698.74/115,491.29 = 53,510.85/x
  3. Step 3: Cross multiply
    83,698.74x = 115,491.29 × 53,510.85
  4. Step 4: Simplify right side
    83,698.74x = 6,180,036,827.94
  5. Step 5: Solve for x
    x = 6,180,036,827.94/83,698.74
  6. Step 6: Final answer
    x = 73,836.68

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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.