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Finding the Fourth Proportional to 58,969.80, 88,438.29 and 19,530

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Solution

The fourth proportional to 58,969.80, 88,438.29 and 19,530 is: 29,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,969.80 : 88,438.29 = 19,530 : x
  2. Step 2: Convert to fraction form
    58,969.80/88,438.29 = 19,530/x
  3. Step 3: Cross multiply
    58,969.80x = 88,438.29 × 19,530
  4. Step 4: Simplify right side
    58,969.80x = 1,727,199,803.70
  5. Step 5: Solve for x
    x = 1,727,199,803.70/58,969.80
  6. Step 6: Final answer
    x = 29,289.57

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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.