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Finding the Fourth Proportional to 216,965.14, 325,384.88 and 65,156.10

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Solution

The fourth proportional to 216,965.14, 325,384.88 and 65,156.10 is: 97,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,965.14 : 325,384.88 = 65,156.10 : x
  2. Step 2: Convert to fraction form
    216,965.14/325,384.88 = 65,156.10/x
  3. Step 3: Cross multiply
    216,965.14x = 325,384.88 × 65,156.10
  4. Step 4: Simplify right side
    216,965.14x = 21,200,809,779.77
  5. Step 5: Solve for x
    x = 21,200,809,779.77/216,965.14
  6. Step 6: Final answer
    x = 97,715.28

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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.