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Finding the Fourth Proportional to 76,358, 105,374.10 and 42,824

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Solution

The fourth proportional to 76,358, 105,374.10 and 42,824 is: 59,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358 : 105,374.10 = 42,824 : x
  2. Step 2: Convert to fraction form
    76,358/105,374.10 = 42,824/x
  3. Step 3: Cross multiply
    76,358x = 105,374.10 × 42,824
  4. Step 4: Simplify right side
    76,358x = 4,512,540,458.40
  5. Step 5: Solve for x
    x = 4,512,540,458.40/76,358
  6. Step 6: Final answer
    x = 59,097.15

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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.