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Finding the Fourth Proportional to 105,077.51, 157,723.48 and 76,913.91

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Solution

The fourth proportional to 105,077.51, 157,723.48 and 76,913.91 is: 115,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,077.51 : 157,723.48 = 76,913.91 : x
  2. Step 2: Convert to fraction form
    105,077.51/157,723.48 = 76,913.91/x
  3. Step 3: Cross multiply
    105,077.51x = 157,723.48 × 76,913.91
  4. Step 4: Simplify right side
    105,077.51x = 12,131,129,545.61
  5. Step 5: Solve for x
    x = 12,131,129,545.61/105,077.51
  6. Step 6: Final answer
    x = 115,449.34

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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.