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Finding the Fourth Proportional to 78,486.77, 108,313.81 and 42,678.90

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Solution

The fourth proportional to 78,486.77, 108,313.81 and 42,678.90 is: 58,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.77 : 108,313.81 = 42,678.90 : x
  2. Step 2: Convert to fraction form
    78,486.77/108,313.81 = 42,678.90/x
  3. Step 3: Cross multiply
    78,486.77x = 108,313.81 × 42,678.90
  4. Step 4: Simplify right side
    78,486.77x = 4,622,714,158.91
  5. Step 5: Solve for x
    x = 4,622,714,158.91/78,486.77
  6. Step 6: Final answer
    x = 58,898.00

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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.