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Finding the Fourth Proportional to 77,785.50, 107,343.99 and 42,457.50

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Solution

The fourth proportional to 77,785.50, 107,343.99 and 42,457.50 is: 58,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785.50 : 107,343.99 = 42,457.50 : x
  2. Step 2: Convert to fraction form
    77,785.50/107,343.99 = 42,457.50/x
  3. Step 3: Cross multiply
    77,785.50x = 107,343.99 × 42,457.50
  4. Step 4: Simplify right side
    77,785.50x = 4,557,557,455.43
  5. Step 5: Solve for x
    x = 4,557,557,455.43/77,785.50
  6. Step 6: Final answer
    x = 58,591.35

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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.