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Finding the Fourth Proportional to 105,699.07, 145,866.15 and 57,952.31

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Solution

The fourth proportional to 105,699.07, 145,866.15 and 57,952.31 is: 79,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.07 : 145,866.15 = 57,952.31 : x
  2. Step 2: Convert to fraction form
    105,699.07/145,866.15 = 57,952.31/x
  3. Step 3: Cross multiply
    105,699.07x = 145,866.15 × 57,952.31
  4. Step 4: Simplify right side
    105,699.07x = 8,453,280,053.54
  5. Step 5: Solve for x
    x = 8,453,280,053.54/105,699.07
  6. Step 6: Final answer
    x = 79,974.97

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1.5x scale

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.