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Finding the Fourth Proportional to 219,099.20, 302,356.88 and 118,497.20

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Solution

The fourth proportional to 219,099.20, 302,356.88 and 118,497.20 is: 163,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,099.20 : 302,356.88 = 118,497.20 : x
  2. Step 2: Convert to fraction form
    219,099.20/302,356.88 = 118,497.20/x
  3. Step 3: Cross multiply
    219,099.20x = 302,356.88 × 118,497.20
  4. Step 4: Simplify right side
    219,099.20x = 35,828,441,576.47
  5. Step 5: Solve for x
    x = 35,828,441,576.47/219,099.20
  6. Step 6: Final answer
    x = 163,526.12

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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.