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Finding the Fourth Proportional to 219,503.12, 302,915.76 and 118,901.12

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Solution

The fourth proportional to 219,503.12, 302,915.76 and 118,901.12 is: 164,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,503.12 : 302,915.76 = 118,901.12 : x
  2. Step 2: Convert to fraction form
    219,503.12/302,915.76 = 118,901.12/x
  3. Step 3: Cross multiply
    219,503.12x = 302,915.76 × 118,901.12
  4. Step 4: Simplify right side
    219,503.12x = 36,017,023,129.65
  5. Step 5: Solve for x
    x = 36,017,023,129.65/219,503.12
  6. Step 6: Final answer
    x = 164,084.33

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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.