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Finding the Fourth Proportional to 78,136.96, 107,802.48 and 44,140.48

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Solution

The fourth proportional to 78,136.96, 107,802.48 and 44,140.48 is: 60,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136.96 : 107,802.48 = 44,140.48 : x
  2. Step 2: Convert to fraction form
    78,136.96/107,802.48 = 44,140.48/x
  3. Step 3: Cross multiply
    78,136.96x = 107,802.48 × 44,140.48
  4. Step 4: Simplify right side
    78,136.96x = 4,758,453,212.39
  5. Step 5: Solve for x
    x = 4,758,453,212.39/78,136.96
  6. Step 6: Final answer
    x = 60,898.88

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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.