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Finding the Fourth Proportional to 219,492, 302,901.12 and 118,892.16

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Solution

The fourth proportional to 219,492, 302,901.12 and 118,892.16 is: 164,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,492 : 302,901.12 = 118,892.16 : x
  2. Step 2: Convert to fraction form
    219,492/302,901.12 = 118,892.16/x
  3. Step 3: Cross multiply
    219,492x = 302,901.12 × 118,892.16
  4. Step 4: Simplify right side
    219,492x = 36,012,568,423.22
  5. Step 5: Solve for x
    x = 36,012,568,423.22/219,492
  6. Step 6: Final answer
    x = 164,072.35

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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.