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Finding the Fourth Proportional to 78,690.81, 108,594.54 and 42,880.77

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Solution

The fourth proportional to 78,690.81, 108,594.54 and 42,880.77 is: 59,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,690.81 : 108,594.54 = 42,880.77 : x
  2. Step 2: Convert to fraction form
    78,690.81/108,594.54 = 42,880.77/x
  3. Step 3: Cross multiply
    78,690.81x = 108,594.54 × 42,880.77
  4. Step 4: Simplify right side
    78,690.81x = 4,656,617,493.00
  5. Step 5: Solve for x
    x = 4,656,617,493.00/78,690.81
  6. Step 6: Final answer
    x = 59,176.13

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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.