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Finding the Fourth Proportional to 86,617, 129,925.50 and 20,953

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Solution

The fourth proportional to 86,617, 129,925.50 and 20,953 is: 31,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 129,925.50 = 20,953 : x
  2. Step 2: Convert to fraction form
    86,617/129,925.50 = 20,953/x
  3. Step 3: Cross multiply
    86,617x = 129,925.50 × 20,953
  4. Step 4: Simplify right side
    86,617x = 2,722,329,001.50
  5. Step 5: Solve for x
    x = 2,722,329,001.50/86,617
  6. Step 6: Final answer
    x = 31,429.50

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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.