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Finding the Fourth Proportional to 286,615.92, 429,924.88 and 86,938.02

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Solution

The fourth proportional to 286,615.92, 429,924.88 and 86,938.02 is: 130,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,615.92 : 429,924.88 = 86,938.02 : x
  2. Step 2: Convert to fraction form
    286,615.92/429,924.88 = 86,938.02/x
  3. Step 3: Cross multiply
    286,615.92x = 429,924.88 × 86,938.02
  4. Step 4: Simplify right side
    286,615.92x = 37,376,817,815.94
  5. Step 5: Solve for x
    x = 37,376,817,815.94/286,615.92
  6. Step 6: Final answer
    x = 130,407.33

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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.