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Finding the Fourth Proportional to 83,390.76, 115,097.10 and 53,169.12

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Solution

The fourth proportional to 83,390.76, 115,097.10 and 53,169.12 is: 73,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,390.76 : 115,097.10 = 53,169.12 : x
  2. Step 2: Convert to fraction form
    83,390.76/115,097.10 = 53,169.12/x
  3. Step 3: Cross multiply
    83,390.76x = 115,097.10 × 53,169.12
  4. Step 4: Simplify right side
    83,390.76x = 6,119,611,521.55
  5. Step 5: Solve for x
    x = 6,119,611,521.55/83,390.76
  6. Step 6: Final answer
    x = 73,384.77

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1.5x scale

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.