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Finding the Fourth Proportional to 105,220, 145,202.74 and 57,473.36

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Solution

The fourth proportional to 105,220, 145,202.74 and 57,473.36 is: 79,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220 : 145,202.74 = 57,473.36 : x
  2. Step 2: Convert to fraction form
    105,220/145,202.74 = 57,473.36/x
  3. Step 3: Cross multiply
    105,220x = 145,202.74 × 57,473.36
  4. Step 4: Simplify right side
    105,220x = 8,345,289,349.01
  5. Step 5: Solve for x
    x = 8,345,289,349.01/105,220
  6. Step 6: Final answer
    x = 79,312.77

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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.