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Finding the Fourth Proportional to 209,952.72, 314,929.08 and 69,711.35

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Solution

The fourth proportional to 209,952.72, 314,929.08 and 69,711.35 is: 104,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.72 : 314,929.08 = 69,711.35 : x
  2. Step 2: Convert to fraction form
    209,952.72/314,929.08 = 69,711.35/x
  3. Step 3: Cross multiply
    209,952.72x = 314,929.08 × 69,711.35
  4. Step 4: Simplify right side
    209,952.72x = 21,954,129,746.41
  5. Step 5: Solve for x
    x = 21,954,129,746.41/209,952.72
  6. Step 6: Final answer
    x = 104,567.02

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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.