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Finding the Fourth Proportional to 114,639.70, 171,959.55 and 86,646.10

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Solution

The fourth proportional to 114,639.70, 171,959.55 and 86,646.10 is: 129,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,639.70 : 171,959.55 = 86,646.10 : x
  2. Step 2: Convert to fraction form
    114,639.70/171,959.55 = 86,646.10/x
  3. Step 3: Cross multiply
    114,639.70x = 171,959.55 × 86,646.10
  4. Step 4: Simplify right side
    114,639.70x = 14,899,624,365.26
  5. Step 5: Solve for x
    x = 14,899,624,365.26/114,639.70
  6. Step 6: Final answer
    x = 129,969.15

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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.