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Finding the Fourth Proportional to 74,358, 102,615.66 and 40,824

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Solution

The fourth proportional to 74,358, 102,615.66 and 40,824 is: 56,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,358 : 102,615.66 = 40,824 : x
  2. Step 2: Convert to fraction form
    74,358/102,615.66 = 40,824/x
  3. Step 3: Cross multiply
    74,358x = 102,615.66 × 40,824
  4. Step 4: Simplify right side
    74,358x = 4,189,181,703.84
  5. Step 5: Solve for x
    x = 4,189,181,703.84/74,358
  6. Step 6: Final answer
    x = 56,338.01

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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.