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Finding the Fourth Proportional to 74,637.69, 103,131.16 and 59,654

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Solution

The fourth proportional to 74,637.69, 103,131.16 and 59,654 is: 82,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,637.69 : 103,131.16 = 59,654 : x
  2. Step 2: Convert to fraction form
    74,637.69/103,131.16 = 59,654/x
  3. Step 3: Cross multiply
    74,637.69x = 103,131.16 × 59,654
  4. Step 4: Simplify right side
    74,637.69x = 6,152,186,218.64
  5. Step 5: Solve for x
    x = 6,152,186,218.64/74,637.69
  6. Step 6: Final answer
    x = 82,427.34

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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.