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Finding the Fourth Proportional to 76,071.84, 104,979.06 and 42,537.84

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Solution

The fourth proportional to 76,071.84, 104,979.06 and 42,537.84 is: 58,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071.84 : 104,979.06 = 42,537.84 : x
  2. Step 2: Convert to fraction form
    76,071.84/104,979.06 = 42,537.84/x
  3. Step 3: Cross multiply
    76,071.84x = 104,979.06 × 42,537.84
  4. Step 4: Simplify right side
    76,071.84x = 4,465,582,457.63
  5. Step 5: Solve for x
    x = 4,465,582,457.63/76,071.84
  6. Step 6: Final answer
    x = 58,702.17

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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.