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Finding the Fourth Proportional to 261,990.34, 392,656.86 and 112,054.66

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Solution

The fourth proportional to 261,990.34, 392,656.86 and 112,054.66 is: 167,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,990.34 : 392,656.86 = 112,054.66 : x
  2. Step 2: Convert to fraction form
    261,990.34/392,656.86 = 112,054.66/x
  3. Step 3: Cross multiply
    261,990.34x = 392,656.86 × 112,054.66
  4. Step 4: Simplify right side
    261,990.34x = 43,999,030,943.97
  5. Step 5: Solve for x
    x = 43,999,030,943.97/261,990.34
  6. Step 6: Final answer
    x = 167,941.42

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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.