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Finding the Fourth Proportional to 143,973.56, 216,022.71 and 77,335.94

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Solution

The fourth proportional to 143,973.56, 216,022.71 and 77,335.94 is: 116,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,973.56 : 216,022.71 = 77,335.94 : x
  2. Step 2: Convert to fraction form
    143,973.56/216,022.71 = 77,335.94/x
  3. Step 3: Cross multiply
    143,973.56x = 216,022.71 × 77,335.94
  4. Step 4: Simplify right side
    143,973.56x = 16,706,319,339.20
  5. Step 5: Solve for x
    x = 16,706,319,339.20/143,973.56
  6. Step 6: Final answer
    x = 116,037.41

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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.