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Finding the Fourth Proportional to 71,148.81, 98,141.85 and 45,646.50

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Solution

The fourth proportional to 71,148.81, 98,141.85 and 45,646.50 is: 62,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.81 : 98,141.85 = 45,646.50 : x
  2. Step 2: Convert to fraction form
    71,148.81/98,141.85 = 45,646.50/x
  3. Step 3: Cross multiply
    71,148.81x = 98,141.85 × 45,646.50
  4. Step 4: Simplify right side
    71,148.81x = 4,479,831,956.03
  5. Step 5: Solve for x
    x = 4,479,831,956.03/71,148.81
  6. Step 6: Final answer
    x = 62,964.26

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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.