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Finding the Fourth Proportional to 78,039.83, 107,694.74 and 42,230.45

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Solution

The fourth proportional to 78,039.83, 107,694.74 and 42,230.45 is: 58,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039.83 : 107,694.74 = 42,230.45 : x
  2. Step 2: Convert to fraction form
    78,039.83/107,694.74 = 42,230.45/x
  3. Step 3: Cross multiply
    78,039.83x = 107,694.74 × 42,230.45
  4. Step 4: Simplify right side
    78,039.83x = 4,547,996,583.21
  5. Step 5: Solve for x
    x = 4,547,996,583.21/78,039.83
  6. Step 6: Final answer
    x = 58,277.89

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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.