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Finding the Fourth Proportional to 55,902.70, 77,145.78 and 30,752.20

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Solution

The fourth proportional to 55,902.70, 77,145.78 and 30,752.20 is: 42,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,902.70 : 77,145.78 = 30,752.20 : x
  2. Step 2: Convert to fraction form
    55,902.70/77,145.78 = 30,752.20/x
  3. Step 3: Cross multiply
    55,902.70x = 77,145.78 × 30,752.20
  4. Step 4: Simplify right side
    55,902.70x = 2,372,402,455.72
  5. Step 5: Solve for x
    x = 2,372,402,455.72/55,902.70
  6. Step 6: Final answer
    x = 42,438.07

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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.