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Finding the Fourth Proportional to 143,977.66, 216,000.51 and 65,091.76

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Solution

The fourth proportional to 143,977.66, 216,000.51 and 65,091.76 is: 97,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,977.66 : 216,000.51 = 65,091.76 : x
  2. Step 2: Convert to fraction form
    143,977.66/216,000.51 = 65,091.76/x
  3. Step 3: Cross multiply
    143,977.66x = 216,000.51 × 65,091.76
  4. Step 4: Simplify right side
    143,977.66x = 14,059,853,356.80
  5. Step 5: Solve for x
    x = 14,059,853,356.80/143,977.66
  6. Step 6: Final answer
    x = 97,653.02

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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.