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Finding the Fourth Proportional to 114,398.56, 157,543.62 and 102,970.72

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Solution

The fourth proportional to 114,398.56, 157,543.62 and 102,970.72 is: 141,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,398.56 : 157,543.62 = 102,970.72 : x
  2. Step 2: Convert to fraction form
    114,398.56/157,543.62 = 102,970.72/x
  3. Step 3: Cross multiply
    114,398.56x = 157,543.62 × 102,970.72
  4. Step 4: Simplify right side
    114,398.56x = 16,222,379,982.81
  5. Step 5: Solve for x
    x = 16,222,379,982.81/114,398.56
  6. Step 6: Final answer
    x = 141,805.81

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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.