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Finding the Fourth Proportional to 105,119.91, 157,700.63 and 38,560.65

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Solution

The fourth proportional to 105,119.91, 157,700.63 and 38,560.65 is: 57,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,119.91 : 157,700.63 = 38,560.65 : x
  2. Step 2: Convert to fraction form
    105,119.91/157,700.63 = 38,560.65/x
  3. Step 3: Cross multiply
    105,119.91x = 157,700.63 × 38,560.65
  4. Step 4: Simplify right side
    105,119.91x = 6,081,038,605.41
  5. Step 5: Solve for x
    x = 6,081,038,605.41/105,119.91
  6. Step 6: Final answer
    x = 57,848.59

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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.