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Finding the Fourth Proportional to 261,455.70, 392,054.06 and 92,950.78

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Solution

The fourth proportional to 261,455.70, 392,054.06 and 92,950.78 is: 139,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,455.70 : 392,054.06 = 92,950.78 : x
  2. Step 2: Convert to fraction form
    261,455.70/392,054.06 = 92,950.78/x
  3. Step 3: Cross multiply
    261,455.70x = 392,054.06 × 92,950.78
  4. Step 4: Simplify right side
    261,455.70x = 36,441,730,679.17
  5. Step 5: Solve for x
    x = 36,441,730,679.17/261,455.70
  6. Step 6: Final answer
    x = 139,380.13

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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.