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Finding the Fourth Proportional to 66,637.62, 100,005.93 and 31,577.40

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Solution

The fourth proportional to 66,637.62, 100,005.93 and 31,577.40 is: 47,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,637.62 : 100,005.93 = 31,577.40 : x
  2. Step 2: Convert to fraction form
    66,637.62/100,005.93 = 31,577.40/x
  3. Step 3: Cross multiply
    66,637.62x = 100,005.93 × 31,577.40
  4. Step 4: Simplify right side
    66,637.62x = 3,157,927,253.98
  5. Step 5: Solve for x
    x = 3,157,927,253.98/66,637.62
  6. Step 6: Final answer
    x = 47,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.