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Finding the Fourth Proportional to 218,902.50, 302,085.45 and 118,300.50

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Solution

The fourth proportional to 218,902.50, 302,085.45 and 118,300.50 is: 163,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,902.50 : 302,085.45 = 118,300.50 : x
  2. Step 2: Convert to fraction form
    218,902.50/302,085.45 = 118,300.50/x
  3. Step 3: Cross multiply
    218,902.50x = 302,085.45 × 118,300.50
  4. Step 4: Simplify right side
    218,902.50x = 35,736,859,777.73
  5. Step 5: Solve for x
    x = 35,736,859,777.73/218,902.50
  6. Step 6: Final answer
    x = 163,254.69

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1.5x scale

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.