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Finding the Fourth Proportional to 86,116.81, 128,932.58 and 64,989.71

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Solution

The fourth proportional to 86,116.81, 128,932.58 and 64,989.71 is: 97,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116.81 : 128,932.58 = 64,989.71 : x
  2. Step 2: Convert to fraction form
    86,116.81/128,932.58 = 64,989.71/x
  3. Step 3: Cross multiply
    86,116.81x = 128,932.58 × 64,989.71
  4. Step 4: Simplify right side
    86,116.81x = 8,379,290,498.95
  5. Step 5: Solve for x
    x = 8,379,290,498.95/86,116.81
  6. Step 6: Final answer
    x = 97,301.45

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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.