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Finding the Fourth Proportional to 105,154.08, 157,732.16 and 31,282.08

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Solution

The fourth proportional to 105,154.08, 157,732.16 and 31,282.08 is: 46,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.08 : 157,732.16 = 31,282.08 : x
  2. Step 2: Convert to fraction form
    105,154.08/157,732.16 = 31,282.08/x
  3. Step 3: Cross multiply
    105,154.08x = 157,732.16 × 31,282.08
  4. Step 4: Simplify right side
    105,154.08x = 4,934,190,047.69
  5. Step 5: Solve for x
    x = 4,934,190,047.69/105,154.08
  6. Step 6: Final answer
    x = 46,923.43

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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.