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Finding the Fourth Proportional to 261,421.65, 392,053.95 and 92,919.83

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Solution

The fourth proportional to 261,421.65, 392,053.95 and 92,919.83 is: 139,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,421.65 : 392,053.95 = 92,919.83 : x
  2. Step 2: Convert to fraction form
    261,421.65/392,053.95 = 92,919.83/x
  3. Step 3: Cross multiply
    261,421.65x = 392,053.95 × 92,919.83
  4. Step 4: Simplify right side
    261,421.65x = 36,429,584,424.56
  5. Step 5: Solve for x
    x = 36,429,584,424.56/261,421.65
  6. Step 6: Final answer
    x = 139,351.83

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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.