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Finding the Fourth Proportional to 86,471.12, 128,847.03 and 77,038.66

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Solution

The fourth proportional to 86,471.12, 128,847.03 and 77,038.66 is: 114,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.12 : 128,847.03 = 77,038.66 : x
  2. Step 2: Convert to fraction form
    86,471.12/128,847.03 = 77,038.66/x
  3. Step 3: Cross multiply
    86,471.12x = 128,847.03 × 77,038.66
  4. Step 4: Simplify right side
    86,471.12x = 9,926,202,406.66
  5. Step 5: Solve for x
    x = 9,926,202,406.66/86,471.12
  6. Step 6: Final answer
    x = 114,792.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.