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Finding the Fourth Proportional to 209,332.63, 314,047.95 and 69,091.12

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Solution

The fourth proportional to 209,332.63, 314,047.95 and 69,091.12 is: 103,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,332.63 : 314,047.95 = 69,091.12 : x
  2. Step 2: Convert to fraction form
    209,332.63/314,047.95 = 69,091.12/x
  3. Step 3: Cross multiply
    209,332.63x = 314,047.95 × 69,091.12
  4. Step 4: Simplify right side
    209,332.63x = 21,697,924,599.20
  5. Step 5: Solve for x
    x = 21,697,924,599.20/209,332.63
  6. Step 6: Final answer
    x = 103,652.85

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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.