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Finding the Fourth Proportional to 105,303.92, 157,932.63 and 30,407.76

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Solution

The fourth proportional to 105,303.92, 157,932.63 and 30,407.76 is: 45,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,303.92 : 157,932.63 = 30,407.76 : x
  2. Step 2: Convert to fraction form
    105,303.92/157,932.63 = 30,407.76/x
  3. Step 3: Cross multiply
    105,303.92x = 157,932.63 × 30,407.76
  4. Step 4: Simplify right side
    105,303.92x = 4,802,377,509.21
  5. Step 5: Solve for x
    x = 4,802,377,509.21/105,303.92
  6. Step 6: Final answer
    x = 45,604.93

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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.