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Finding the Fourth Proportional to 286,587.54, 429,225.75 and 136,933.02

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Solution

The fourth proportional to 286,587.54, 429,225.75 and 136,933.02 is: 205,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,587.54 : 429,225.75 = 136,933.02 : x
  2. Step 2: Convert to fraction form
    286,587.54/429,225.75 = 136,933.02/x
  3. Step 3: Cross multiply
    286,587.54x = 429,225.75 × 136,933.02
  4. Step 4: Simplify right side
    286,587.54x = 58,775,178,209.27
  5. Step 5: Solve for x
    x = 58,775,178,209.27/286,587.54
  6. Step 6: Final answer
    x = 205,086.30

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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.