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Finding the Fourth Proportional to 86,038.50, 129,062.61 and 30,634.50

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Solution

The fourth proportional to 86,038.50, 129,062.61 and 30,634.50 is: 45,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038.50 : 129,062.61 = 30,634.50 : x
  2. Step 2: Convert to fraction form
    86,038.50/129,062.61 = 30,634.50/x
  3. Step 3: Cross multiply
    86,038.50x = 129,062.61 × 30,634.50
  4. Step 4: Simplify right side
    86,038.50x = 3,953,768,526.05
  5. Step 5: Solve for x
    x = 3,953,768,526.05/86,038.50
  6. Step 6: Final answer
    x = 45,953.48

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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.