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Finding the Fourth Proportional to 261,482.56, 392,262.72 and 121,255.36

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Solution

The fourth proportional to 261,482.56, 392,262.72 and 121,255.36 is: 181,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,482.56 : 392,262.72 = 121,255.36 : x
  2. Step 2: Convert to fraction form
    261,482.56/392,262.72 = 121,255.36/x
  3. Step 3: Cross multiply
    261,482.56x = 392,262.72 × 121,255.36
  4. Step 4: Simplify right side
    261,482.56x = 47,563,957,328.18
  5. Step 5: Solve for x
    x = 47,563,957,328.18/261,482.56
  6. Step 6: Final answer
    x = 181,901.07

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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.