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Finding the Fourth Proportional to 286,184, 429,291.80 and 86,499.36

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Solution

The fourth proportional to 286,184, 429,291.80 and 86,499.36 is: 129,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,184 : 429,291.80 = 86,499.36 : x
  2. Step 2: Convert to fraction form
    286,184/429,291.80 = 86,499.36/x
  3. Step 3: Cross multiply
    286,184x = 429,291.80 × 86,499.36
  4. Step 4: Simplify right side
    286,184x = 37,133,465,953.25
  5. Step 5: Solve for x
    x = 37,133,465,953.25/286,184
  6. Step 6: Final answer
    x = 129,753.82

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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.