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Finding the Fourth Proportional to 135,690.66, 187,223.13 and 78,317.76

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Solution

The fourth proportional to 135,690.66, 187,223.13 and 78,317.76 is: 108,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,690.66 : 187,223.13 = 78,317.76 : x
  2. Step 2: Convert to fraction form
    135,690.66/187,223.13 = 78,317.76/x
  3. Step 3: Cross multiply
    135,690.66x = 187,223.13 × 78,317.76
  4. Step 4: Simplify right side
    135,690.66x = 14,662,896,161.79
  5. Step 5: Solve for x
    x = 14,662,896,161.79/135,690.66
  6. Step 6: Final answer
    x = 108,061.20

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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.