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Finding the Fourth Proportional to 286,179.90, 429,273.81 and 86,501.94

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Solution

The fourth proportional to 286,179.90, 429,273.81 and 86,501.94 is: 129,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,179.90 : 429,273.81 = 86,501.94 : x
  2. Step 2: Convert to fraction form
    286,179.90/429,273.81 = 86,501.94/x
  3. Step 3: Cross multiply
    286,179.90x = 429,273.81 × 86,501.94
  4. Step 4: Simplify right side
    286,179.90x = 37,133,017,356.19
  5. Step 5: Solve for x
    x = 37,133,017,356.19/286,179.90
  6. Step 6: Final answer
    x = 129,754.11

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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.