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Finding the Fourth Proportional to 81,312.83, 121,980.87 and 25,157.74

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Solution

The fourth proportional to 81,312.83, 121,980.87 and 25,157.74 is: 37,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,312.83 : 121,980.87 = 25,157.74 : x
  2. Step 2: Convert to fraction form
    81,312.83/121,980.87 = 25,157.74/x
  3. Step 3: Cross multiply
    81,312.83x = 121,980.87 × 25,157.74
  4. Step 4: Simplify right side
    81,312.83x = 3,068,762,707.48
  5. Step 5: Solve for x
    x = 3,068,762,707.48/81,312.83
  6. Step 6: Final answer
    x = 37,740.20

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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.