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Finding the Fourth Proportional to 77,842.66, 107,448.24 and 57,693.10

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Solution

The fourth proportional to 77,842.66, 107,448.24 and 57,693.10 is: 79,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.66 : 107,448.24 = 57,693.10 : x
  2. Step 2: Convert to fraction form
    77,842.66/107,448.24 = 57,693.10/x
  3. Step 3: Cross multiply
    77,842.66x = 107,448.24 × 57,693.10
  4. Step 4: Simplify right side
    77,842.66x = 6,199,022,055.14
  5. Step 5: Solve for x
    x = 6,199,022,055.14/77,842.66
  6. Step 6: Final answer
    x = 79,635.28

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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.