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Finding the Fourth Proportional to 118,503.48, 177,764.40 and 39,618

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Solution

The fourth proportional to 118,503.48, 177,764.40 and 39,618 is: 59,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,503.48 : 177,764.40 = 39,618 : x
  2. Step 2: Convert to fraction form
    118,503.48/177,764.40 = 39,618/x
  3. Step 3: Cross multiply
    118,503.48x = 177,764.40 × 39,618
  4. Step 4: Simplify right side
    118,503.48x = 7,042,669,999.20
  5. Step 5: Solve for x
    x = 7,042,669,999.20/118,503.48
  6. Step 6: Final answer
    x = 59,430.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.