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Finding the Fourth Proportional to 139,968.70, 209,953.05 and 86,703.10

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Solution

The fourth proportional to 139,968.70, 209,953.05 and 86,703.10 is: 130,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968.70 : 209,953.05 = 86,703.10 : x
  2. Step 2: Convert to fraction form
    139,968.70/209,953.05 = 86,703.10/x
  3. Step 3: Cross multiply
    139,968.70x = 209,953.05 × 86,703.10
  4. Step 4: Simplify right side
    139,968.70x = 18,203,580,289.46
  5. Step 5: Solve for x
    x = 18,203,580,289.46/139,968.70
  6. Step 6: Final answer
    x = 130,054.65

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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.