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Finding the Fourth Proportional to 261,663.74, 392,574.42 and 81,741.89

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Solution

The fourth proportional to 261,663.74, 392,574.42 and 81,741.89 is: 122,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,663.74 : 392,574.42 = 81,741.89 : x
  2. Step 2: Convert to fraction form
    261,663.74/392,574.42 = 81,741.89/x
  3. Step 3: Cross multiply
    261,663.74x = 392,574.42 × 81,741.89
  4. Step 4: Simplify right side
    261,663.74x = 32,089,773,093.58
  5. Step 5: Solve for x
    x = 32,089,773,093.58/261,663.74
  6. Step 6: Final answer
    x = 122,637.45

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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.