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Finding the Fourth Proportional to 78,409.08, 108,205.11 and 42,599.16

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Solution

The fourth proportional to 78,409.08, 108,205.11 and 42,599.16 is: 58,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.08 : 108,205.11 = 42,599.16 : x
  2. Step 2: Convert to fraction form
    78,409.08/108,205.11 = 42,599.16/x
  3. Step 3: Cross multiply
    78,409.08x = 108,205.11 × 42,599.16
  4. Step 4: Simplify right side
    78,409.08x = 4,609,446,793.71
  5. Step 5: Solve for x
    x = 4,609,446,793.71/78,409.08
  6. Step 6: Final answer
    x = 58,787.16

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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.