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Finding the Fourth Proportional to 260,020, 358,827.60 and 140,788

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Solution

The fourth proportional to 260,020, 358,827.60 and 140,788 is: 194,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,020 : 358,827.60 = 140,788 : x
  2. Step 2: Convert to fraction form
    260,020/358,827.60 = 140,788/x
  3. Step 3: Cross multiply
    260,020x = 358,827.60 × 140,788
  4. Step 4: Simplify right side
    260,020x = 50,518,620,148.80
  5. Step 5: Solve for x
    x = 50,518,620,148.80/260,020
  6. Step 6: Final answer
    x = 194,287.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.