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Finding the Fourth Proportional to 105,959.25, 159,019.05 and 53,412.93

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Solution

The fourth proportional to 105,959.25, 159,019.05 and 53,412.93 is: 80,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,959.25 : 159,019.05 = 53,412.93 : x
  2. Step 2: Convert to fraction form
    105,959.25/159,019.05 = 53,412.93/x
  3. Step 3: Cross multiply
    105,959.25x = 159,019.05 × 53,412.93
  4. Step 4: Simplify right side
    105,959.25x = 8,493,673,386.32
  5. Step 5: Solve for x
    x = 8,493,673,386.32/105,959.25
  6. Step 6: Final answer
    x = 80,159.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.