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Finding the Fourth Proportional to 254,688.60, 381,935.70 and 77,136.60

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Solution

The fourth proportional to 254,688.60, 381,935.70 and 77,136.60 is: 115,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,688.60 : 381,935.70 = 77,136.60 : x
  2. Step 2: Convert to fraction form
    254,688.60/381,935.70 = 77,136.60/x
  3. Step 3: Cross multiply
    254,688.60x = 381,935.70 × 77,136.60
  4. Step 4: Simplify right side
    254,688.60x = 29,461,221,316.62
  5. Step 5: Solve for x
    x = 29,461,221,316.62/254,688.60
  6. Step 6: Final answer
    x = 115,675.46

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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.