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Finding the Fourth Proportional to 121,409.90, 182,503.65 and 86,590.70

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Solution

The fourth proportional to 121,409.90, 182,503.65 and 86,590.70 is: 130,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409.90 : 182,503.65 = 86,590.70 : x
  2. Step 2: Convert to fraction form
    121,409.90/182,503.65 = 86,590.70/x
  3. Step 3: Cross multiply
    121,409.90x = 182,503.65 × 86,590.70
  4. Step 4: Simplify right side
    121,409.90x = 15,803,118,806.06
  5. Step 5: Solve for x
    x = 15,803,118,806.06/121,409.90
  6. Step 6: Final answer
    x = 130,163.35

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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.