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Finding the Fourth Proportional to 286,614.91, 429,923.38 and 86,937.02

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Solution

The fourth proportional to 286,614.91, 429,923.38 and 86,937.02 is: 130,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,614.91 : 429,923.38 = 86,937.02 : x
  2. Step 2: Convert to fraction form
    286,614.91/429,923.38 = 86,937.02/x
  3. Step 3: Cross multiply
    286,614.91x = 429,923.38 × 86,937.02
  4. Step 4: Simplify right side
    286,614.91x = 37,376,257,485.53
  5. Step 5: Solve for x
    x = 37,376,257,485.53/286,614.91
  6. Step 6: Final answer
    x = 130,405.84

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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.