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Finding the Fourth Proportional to 76,487.67, 114,518.88 and 57,711.06

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Solution

The fourth proportional to 76,487.67, 114,518.88 and 57,711.06 is: 86,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.67 : 114,518.88 = 57,711.06 : x
  2. Step 2: Convert to fraction form
    76,487.67/114,518.88 = 57,711.06/x
  3. Step 3: Cross multiply
    76,487.67x = 114,518.88 × 57,711.06
  4. Step 4: Simplify right side
    76,487.67x = 6,609,005,954.81
  5. Step 5: Solve for x
    x = 6,609,005,954.81/76,487.67
  6. Step 6: Final answer
    x = 86,406.16

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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.