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Finding the Fourth Proportional to 105,027.67, 144,964.38 and 62,578

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Solution

The fourth proportional to 105,027.67, 144,964.38 and 62,578 is: 86,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.67 : 144,964.38 = 62,578 : x
  2. Step 2: Convert to fraction form
    105,027.67/144,964.38 = 62,578/x
  3. Step 3: Cross multiply
    105,027.67x = 144,964.38 × 62,578
  4. Step 4: Simplify right side
    105,027.67x = 9,071,580,971.64
  5. Step 5: Solve for x
    x = 9,071,580,971.64/105,027.67
  6. Step 6: Final answer
    x = 86,373.25

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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.