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Finding the Fourth Proportional to 71,346.78, 98,459.28 and 43,047

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Solution

The fourth proportional to 71,346.78, 98,459.28 and 43,047 is: 59,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,346.78 : 98,459.28 = 43,047 : x
  2. Step 2: Convert to fraction form
    71,346.78/98,459.28 = 43,047/x
  3. Step 3: Cross multiply
    71,346.78x = 98,459.28 × 43,047
  4. Step 4: Simplify right side
    71,346.78x = 4,238,376,626.16
  5. Step 5: Solve for x
    x = 4,238,376,626.16/71,346.78
  6. Step 6: Final answer
    x = 59,405.30

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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.