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Finding the Fourth Proportional to 286,062.65, 429,097.05 and 86,384.77

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Solution

The fourth proportional to 286,062.65, 429,097.05 and 86,384.77 is: 129,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,062.65 : 429,097.05 = 86,384.77 : x
  2. Step 2: Convert to fraction form
    286,062.65/429,097.05 = 86,384.77/x
  3. Step 3: Cross multiply
    286,062.65x = 429,097.05 × 86,384.77
  4. Step 4: Simplify right side
    286,062.65x = 37,067,449,971.93
  5. Step 5: Solve for x
    x = 37,067,449,971.93/286,062.65
  6. Step 6: Final answer
    x = 129,578.08

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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.