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Finding the Fourth Proportional to 86,434.59, 129,652.02 and 56,983.98

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Solution

The fourth proportional to 86,434.59, 129,652.02 and 56,983.98 is: 85,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434.59 : 129,652.02 = 56,983.98 : x
  2. Step 2: Convert to fraction form
    86,434.59/129,652.02 = 56,983.98/x
  3. Step 3: Cross multiply
    86,434.59x = 129,652.02 × 56,983.98
  4. Step 4: Simplify right side
    86,434.59x = 7,388,088,114.64
  5. Step 5: Solve for x
    x = 7,388,088,114.64/86,434.59
  6. Step 6: Final answer
    x = 85,476.06

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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.