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Finding the Fourth Proportional to 105,570, 145,686.78 and 57,172.44

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Solution

The fourth proportional to 105,570, 145,686.78 and 57,172.44 is: 78,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570 : 145,686.78 = 57,172.44 : x
  2. Step 2: Convert to fraction form
    105,570/145,686.78 = 57,172.44/x
  3. Step 3: Cross multiply
    105,570x = 145,686.78 × 57,172.44
  4. Step 4: Simplify right side
    105,570x = 8,329,268,688.34
  5. Step 5: Solve for x
    x = 8,329,268,688.34/105,570
  6. Step 6: Final answer
    x = 78,898.06

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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.