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Finding the Fourth Proportional to 260,098.80, 390,245.40 and 102,437.16

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Solution

The fourth proportional to 260,098.80, 390,245.40 and 102,437.16 is: 153,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098.80 : 390,245.40 = 102,437.16 : x
  2. Step 2: Convert to fraction form
    260,098.80/390,245.40 = 102,437.16/x
  3. Step 3: Cross multiply
    260,098.80x = 390,245.40 × 102,437.16
  4. Step 4: Simplify right side
    260,098.80x = 39,975,630,479.06
  5. Step 5: Solve for x
    x = 39,975,630,479.06/260,098.80
  6. Step 6: Final answer
    x = 153,694.02

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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.