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Finding the Fourth Proportional to 164,966.81, 247,400.82 and 86,037.98

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Solution

The fourth proportional to 164,966.81, 247,400.82 and 86,037.98 is: 129,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966.81 : 247,400.82 = 86,037.98 : x
  2. Step 2: Convert to fraction form
    164,966.81/247,400.82 = 86,037.98/x
  3. Step 3: Cross multiply
    164,966.81x = 247,400.82 × 86,037.98
  4. Step 4: Simplify right side
    164,966.81x = 21,285,866,803.14
  5. Step 5: Solve for x
    x = 21,285,866,803.14/164,966.81
  6. Step 6: Final answer
    x = 129,031.21

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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.