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Finding the Fourth Proportional to 219,507, 302,919.75 and 118,905

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Solution

The fourth proportional to 219,507, 302,919.75 and 118,905 is: 164,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,507 : 302,919.75 = 118,905 : x
  2. Step 2: Convert to fraction form
    219,507/302,919.75 = 118,905/x
  3. Step 3: Cross multiply
    219,507x = 302,919.75 × 118,905
  4. Step 4: Simplify right side
    219,507x = 36,018,672,873.75
  5. Step 5: Solve for x
    x = 36,018,672,873.75/219,507
  6. Step 6: Final answer
    x = 164,088.95

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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.