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Finding the Fourth Proportional to 219,477, 302,878.32 and 118,875

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Solution

The fourth proportional to 219,477, 302,878.32 and 118,875 is: 164,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,477 : 302,878.32 = 118,875 : x
  2. Step 2: Convert to fraction form
    219,477/302,878.32 = 118,875/x
  3. Step 3: Cross multiply
    219,477x = 302,878.32 × 118,875
  4. Step 4: Simplify right side
    219,477x = 36,004,660,290
  5. Step 5: Solve for x
    x = 36,004,660,290/219,477
  6. Step 6: Final answer
    x = 164,047.53

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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.