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Finding the Fourth Proportional to 219,532, 302,957.40 and 118,930

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Solution

The fourth proportional to 219,532, 302,957.40 and 118,930 is: 164,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,532 : 302,957.40 = 118,930 : x
  2. Step 2: Convert to fraction form
    219,532/302,957.40 = 118,930/x
  3. Step 3: Cross multiply
    219,532x = 302,957.40 × 118,930
  4. Step 4: Simplify right side
    219,532x = 36,030,723,582
  5. Step 5: Solve for x
    x = 36,030,723,582/219,532
  6. Step 6: Final answer
    x = 164,125.16

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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.