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Finding the Fourth Proportional to 98,754, 136,280.79 and 54,042

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Solution

The fourth proportional to 98,754, 136,280.79 and 54,042 is: 74,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,754 : 136,280.79 = 54,042 : x
  2. Step 2: Convert to fraction form
    98,754/136,280.79 = 54,042/x
  3. Step 3: Cross multiply
    98,754x = 136,280.79 × 54,042
  4. Step 4: Simplify right side
    98,754x = 7,364,886,453.18
  5. Step 5: Solve for x
    x = 7,364,886,453.18/98,754
  6. Step 6: Final answer
    x = 74,578.11

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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.