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Finding the Fourth Proportional to 286,257.15, 429,221.70 and 86,547.60

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Solution

The fourth proportional to 286,257.15, 429,221.70 and 86,547.60 is: 129,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,257.15 : 429,221.70 = 86,547.60 : x
  2. Step 2: Convert to fraction form
    286,257.15/429,221.70 = 86,547.60/x
  3. Step 3: Cross multiply
    286,257.15x = 429,221.70 × 86,547.60
  4. Step 4: Simplify right side
    286,257.15x = 37,148,108,002.92
  5. Step 5: Solve for x
    x = 37,148,108,002.92/286,257.15
  6. Step 6: Final answer
    x = 129,771.81

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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.