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Finding the Fourth Proportional to 102,709.70, 153,934.95 and 50,005.70

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Solution

The fourth proportional to 102,709.70, 153,934.95 and 50,005.70 is: 74,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.70 : 153,934.95 = 50,005.70 : x
  2. Step 2: Convert to fraction form
    102,709.70/153,934.95 = 50,005.70/x
  3. Step 3: Cross multiply
    102,709.70x = 153,934.95 × 50,005.70
  4. Step 4: Simplify right side
    102,709.70x = 7,697,624,929.22
  5. Step 5: Solve for x
    x = 7,697,624,929.22/102,709.70
  6. Step 6: Final answer
    x = 74,945.45

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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.