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Finding the Fourth Proportional to 219,120, 302,386.14 and 118,518

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Solution

The fourth proportional to 219,120, 302,386.14 and 118,518 is: 163,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,120 : 302,386.14 = 118,518 : x
  2. Step 2: Convert to fraction form
    219,120/302,386.14 = 118,518/x
  3. Step 3: Cross multiply
    219,120x = 302,386.14 × 118,518
  4. Step 4: Simplify right side
    219,120x = 35,838,200,540.52
  5. Step 5: Solve for x
    x = 35,838,200,540.52/219,120
  6. Step 6: Final answer
    x = 163,555.13

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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.