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Finding the Fourth Proportional to 57,011.92, 78,683.88 and 31,866.64

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Solution

The fourth proportional to 57,011.92, 78,683.88 and 31,866.64 is: 43,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011.92 : 78,683.88 = 31,866.64 : x
  2. Step 2: Convert to fraction form
    57,011.92/78,683.88 = 31,866.64/x
  3. Step 3: Cross multiply
    57,011.92x = 78,683.88 × 31,866.64
  4. Step 4: Simplify right side
    57,011.92x = 2,507,390,877.76
  5. Step 5: Solve for x
    x = 2,507,390,877.76/57,011.92
  6. Step 6: Final answer
    x = 43,980.12

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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.