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Finding the Fourth Proportional to 78,390.08, 108,178.86 and 42,580.08

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Solution

The fourth proportional to 78,390.08, 108,178.86 and 42,580.08 is: 58,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.08 : 108,178.86 = 42,580.08 : x
  2. Step 2: Convert to fraction form
    78,390.08/108,178.86 = 42,580.08/x
  3. Step 3: Cross multiply
    78,390.08x = 108,178.86 × 42,580.08
  4. Step 4: Simplify right side
    78,390.08x = 4,606,264,136.21
  5. Step 5: Solve for x
    x = 4,606,264,136.21/78,390.08
  6. Step 6: Final answer
    x = 58,760.81

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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.