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Finding the Fourth Proportional to 86,991.40, 130,492.06 and 24,657

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Solution

The fourth proportional to 86,991.40, 130,492.06 and 24,657 is: 36,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,991.40 : 130,492.06 = 24,657 : x
  2. Step 2: Convert to fraction form
    86,991.40/130,492.06 = 24,657/x
  3. Step 3: Cross multiply
    86,991.40x = 130,492.06 × 24,657
  4. Step 4: Simplify right side
    86,991.40x = 3,217,542,723.42
  5. Step 5: Solve for x
    x = 3,217,542,723.42/86,991.40
  6. Step 6: Final answer
    x = 36,986.91

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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.