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Finding the Fourth Proportional to 139,978.90, 209,968.35 and 86,834.80

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Solution

The fourth proportional to 139,978.90, 209,968.35 and 86,834.80 is: 130,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,978.90 : 209,968.35 = 86,834.80 : x
  2. Step 2: Convert to fraction form
    139,978.90/209,968.35 = 86,834.80/x
  3. Step 3: Cross multiply
    139,978.90x = 209,968.35 × 86,834.80
  4. Step 4: Simplify right side
    139,978.90x = 18,232,559,678.58
  5. Step 5: Solve for x
    x = 18,232,559,678.58/139,978.90
  6. Step 6: Final answer
    x = 130,252.20

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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.