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Finding the Fourth Proportional to 131,738.16, 181,802.16 and 78,035.16

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Solution

The fourth proportional to 131,738.16, 181,802.16 and 78,035.16 is: 107,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,738.16 : 181,802.16 = 78,035.16 : x
  2. Step 2: Convert to fraction form
    131,738.16/181,802.16 = 78,035.16/x
  3. Step 3: Cross multiply
    131,738.16x = 181,802.16 × 78,035.16
  4. Step 4: Simplify right side
    131,738.16x = 14,186,960,643.95
  5. Step 5: Solve for x
    x = 14,186,960,643.95/131,738.16
  6. Step 6: Final answer
    x = 107,690.59

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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.