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Finding the Fourth Proportional to 261,596.76, 392,628.42 and 121,434.36

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Solution

The fourth proportional to 261,596.76, 392,628.42 and 121,434.36 is: 182,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,596.76 : 392,628.42 = 121,434.36 : x
  2. Step 2: Convert to fraction form
    261,596.76/392,628.42 = 121,434.36/x
  3. Step 3: Cross multiply
    261,596.76x = 392,628.42 × 121,434.36
  4. Step 4: Simplify right side
    261,596.76x = 47,678,580,900.51
  5. Step 5: Solve for x
    x = 47,678,580,900.51/261,596.76
  6. Step 6: Final answer
    x = 182,259.83

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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.