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Finding the Fourth Proportional to 81,390.16, 121,866.50 and 51,646.96

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Solution

The fourth proportional to 81,390.16, 121,866.50 and 51,646.96 is: 77,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,390.16 : 121,866.50 = 51,646.96 : x
  2. Step 2: Convert to fraction form
    81,390.16/121,866.50 = 51,646.96/x
  3. Step 3: Cross multiply
    81,390.16x = 121,866.50 × 51,646.96
  4. Step 4: Simplify right side
    81,390.16x = 6,294,034,250.84
  5. Step 5: Solve for x
    x = 6,294,034,250.84/81,390.16
  6. Step 6: Final answer
    x = 77,331.64

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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.