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Finding the Fourth Proportional to 105,254.31, 145,246.68 and 57,509.31

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Solution

The fourth proportional to 105,254.31, 145,246.68 and 57,509.31 is: 79,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,254.31 : 145,246.68 = 57,509.31 : x
  2. Step 2: Convert to fraction form
    105,254.31/145,246.68 = 57,509.31/x
  3. Step 3: Cross multiply
    105,254.31x = 145,246.68 × 57,509.31
  4. Step 4: Simplify right side
    105,254.31x = 8,353,036,346.59
  5. Step 5: Solve for x
    x = 8,353,036,346.59/105,254.31
  6. Step 6: Final answer
    x = 79,360.52

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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.