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Finding the Fourth Proportional to 218,778, 301,913.76 and 118,176

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Solution

The fourth proportional to 218,778, 301,913.76 and 118,176 is: 163,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,778 : 301,913.76 = 118,176 : x
  2. Step 2: Convert to fraction form
    218,778/301,913.76 = 118,176/x
  3. Step 3: Cross multiply
    218,778x = 301,913.76 × 118,176
  4. Step 4: Simplify right side
    218,778x = 35,678,960,501.76
  5. Step 5: Solve for x
    x = 35,678,960,501.76/218,778
  6. Step 6: Final answer
    x = 163,082.94

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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.