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Finding the Fourth Proportional to 78,904.80, 118,328.40 and 39,448.80

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Solution

The fourth proportional to 78,904.80, 118,328.40 and 39,448.80 is: 59,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,904.80 : 118,328.40 = 39,448.80 : x
  2. Step 2: Convert to fraction form
    78,904.80/118,328.40 = 39,448.80/x
  3. Step 3: Cross multiply
    78,904.80x = 118,328.40 × 39,448.80
  4. Step 4: Simplify right side
    78,904.80x = 4,667,913,385.92
  5. Step 5: Solve for x
    x = 4,667,913,385.92/78,904.80
  6. Step 6: Final answer
    x = 59,158.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.