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Finding the Fourth Proportional to 66,637.66, 99,984.12 and 29,178.40

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Solution

The fourth proportional to 66,637.66, 99,984.12 and 29,178.40 is: 43,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,637.66 : 99,984.12 = 29,178.40 : x
  2. Step 2: Convert to fraction form
    66,637.66/99,984.12 = 29,178.40/x
  3. Step 3: Cross multiply
    66,637.66x = 99,984.12 × 29,178.40
  4. Step 4: Simplify right side
    66,637.66x = 2,917,376,647.01
  5. Step 5: Solve for x
    x = 2,917,376,647.01/66,637.66
  6. Step 6: Final answer
    x = 43,779.70

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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.