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Finding the Fourth Proportional to 105,707.52, 145,875.31 and 57,960.75

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Solution

The fourth proportional to 105,707.52, 145,875.31 and 57,960.75 is: 79,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,707.52 : 145,875.31 = 57,960.75 : x
  2. Step 2: Convert to fraction form
    105,707.52/145,875.31 = 57,960.75/x
  3. Step 3: Cross multiply
    105,707.52x = 145,875.31 × 57,960.75
  4. Step 4: Simplify right side
    105,707.52x = 8,455,042,374.08
  5. Step 5: Solve for x
    x = 8,455,042,374.08/105,707.52
  6. Step 6: Final answer
    x = 79,985.25

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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.