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Finding the Fourth Proportional to 68,681.16, 102,938.52 and 29,155.26

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Solution

The fourth proportional to 68,681.16, 102,938.52 and 29,155.26 is: 43,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,681.16 : 102,938.52 = 29,155.26 : x
  2. Step 2: Convert to fraction form
    68,681.16/102,938.52 = 29,155.26/x
  3. Step 3: Cross multiply
    68,681.16x = 102,938.52 × 29,155.26
  4. Step 4: Simplify right side
    68,681.16x = 3,001,199,314.62
  5. Step 5: Solve for x
    x = 3,001,199,314.62/68,681.16
  6. Step 6: Final answer
    x = 43,697.56

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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.