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Finding the Fourth Proportional to 105,498, 158,285.88 and 55,576.08

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Solution

The fourth proportional to 105,498, 158,285.88 and 55,576.08 is: 83,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498 : 158,285.88 = 55,576.08 : x
  2. Step 2: Convert to fraction form
    105,498/158,285.88 = 55,576.08/x
  3. Step 3: Cross multiply
    105,498x = 158,285.88 × 55,576.08
  4. Step 4: Simplify right side
    105,498x = 8,796,908,729.75
  5. Step 5: Solve for x
    x = 8,796,908,729.75/105,498
  6. Step 6: Final answer
    x = 83,384.60

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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.