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Finding the Fourth Proportional to 260,098.69, 390,369.48 and 102,437.86

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Solution

The fourth proportional to 260,098.69, 390,369.48 and 102,437.86 is: 153,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098.69 : 390,369.48 = 102,437.86 : x
  2. Step 2: Convert to fraction form
    260,098.69/390,369.48 = 102,437.86/x
  3. Step 3: Cross multiply
    260,098.69x = 390,369.48 × 102,437.86
  4. Step 4: Simplify right side
    260,098.69x = 39,988,613,512.39
  5. Step 5: Solve for x
    x = 39,988,613,512.39/260,098.69
  6. Step 6: Final answer
    x = 153,744.00

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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.