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Finding the Fourth Proportional to 102,709.20, 153,934.20 and 50,005.20

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Solution

The fourth proportional to 102,709.20, 153,934.20 and 50,005.20 is: 74,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.20 : 153,934.20 = 50,005.20 : x
  2. Step 2: Convert to fraction form
    102,709.20/153,934.20 = 50,005.20/x
  3. Step 3: Cross multiply
    102,709.20x = 153,934.20 × 50,005.20
  4. Step 4: Simplify right side
    102,709.20x = 7,697,510,457.84
  5. Step 5: Solve for x
    x = 7,697,510,457.84/102,709.20
  6. Step 6: Final answer
    x = 74,944.70

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1.5x scale

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.