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Finding the Fourth Proportional to 260,065.81, 390,152.18 and 117,842.77

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Solution

The fourth proportional to 260,065.81, 390,152.18 and 117,842.77 is: 176,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,065.81 : 390,152.18 = 117,842.77 : x
  2. Step 2: Convert to fraction form
    260,065.81/390,152.18 = 117,842.77/x
  3. Step 3: Cross multiply
    260,065.81x = 390,152.18 × 117,842.77
  4. Step 4: Simplify right side
    260,065.81x = 45,976,613,612.74
  5. Step 5: Solve for x
    x = 45,976,613,612.74/260,065.81
  6. Step 6: Final answer
    x = 176,788.38

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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.