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Finding the Fourth Proportional to 105,194.81, 157,792.51 and 42,020.09

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Solution

The fourth proportional to 105,194.81, 157,792.51 and 42,020.09 is: 63,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.81 : 157,792.51 = 42,020.09 : x
  2. Step 2: Convert to fraction form
    105,194.81/157,792.51 = 42,020.09/x
  3. Step 3: Cross multiply
    105,194.81x = 157,792.51 × 42,020.09
  4. Step 4: Simplify right side
    105,194.81x = 6,630,455,534.24
  5. Step 5: Solve for x
    x = 6,630,455,534.24/105,194.81
  6. Step 6: Final answer
    x = 63,030.25

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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.