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Finding the Fourth Proportional to 86,417, 129,675.90 and 36,494.12

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Solution

The fourth proportional to 86,417, 129,675.90 and 36,494.12 is: 54,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,417 : 129,675.90 = 36,494.12 : x
  2. Step 2: Convert to fraction form
    86,417/129,675.90 = 36,494.12/x
  3. Step 3: Cross multiply
    86,417x = 129,675.90 × 36,494.12
  4. Step 4: Simplify right side
    86,417x = 4,732,407,855.71
  5. Step 5: Solve for x
    x = 4,732,407,855.71/86,417
  6. Step 6: Final answer
    x = 54,762.46

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1.5x scale

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.