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Finding the Fourth Proportional to 78,124.74, 107,812.32 and 42,314.64

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Solution

The fourth proportional to 78,124.74, 107,812.32 and 42,314.64 is: 58,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.74 : 107,812.32 = 42,314.64 : x
  2. Step 2: Convert to fraction form
    78,124.74/107,812.32 = 42,314.64/x
  3. Step 3: Cross multiply
    78,124.74x = 107,812.32 × 42,314.64
  4. Step 4: Simplify right side
    78,124.74x = 4,562,039,508.36
  5. Step 5: Solve for x
    x = 4,562,039,508.36/78,124.74
  6. Step 6: Final answer
    x = 58,394.30

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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.