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Finding the Fourth Proportional to 86,583.58, 129,888.72 and 36,664

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Solution

The fourth proportional to 86,583.58, 129,888.72 and 36,664 is: 55,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583.58 : 129,888.72 = 36,664 : x
  2. Step 2: Convert to fraction form
    86,583.58/129,888.72 = 36,664/x
  3. Step 3: Cross multiply
    86,583.58x = 129,888.72 × 36,664
  4. Step 4: Simplify right side
    86,583.58x = 4,762,240,030.08
  5. Step 5: Solve for x
    x = 4,762,240,030.08/86,583.58
  6. Step 6: Final answer
    x = 55,001.65

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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.