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Finding the Fourth Proportional to 78,970.65, 108,904.08 and 51,706.05

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Solution

The fourth proportional to 78,970.65, 108,904.08 and 51,706.05 is: 71,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.65 : 108,904.08 = 51,706.05 : x
  2. Step 2: Convert to fraction form
    78,970.65/108,904.08 = 51,706.05/x
  3. Step 3: Cross multiply
    78,970.65x = 108,904.08 × 51,706.05
  4. Step 4: Simplify right side
    78,970.65x = 5,630,999,805.68
  5. Step 5: Solve for x
    x = 5,630,999,805.68/78,970.65
  6. Step 6: Final answer
    x = 71,304.97

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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.