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Finding the Fourth Proportional to 100,840.50, 139,159.89 and 56,127.54

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Solution

The fourth proportional to 100,840.50, 139,159.89 and 56,127.54 is: 77,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,840.50 : 139,159.89 = 56,127.54 : x
  2. Step 2: Convert to fraction form
    100,840.50/139,159.89 = 56,127.54/x
  3. Step 3: Cross multiply
    100,840.50x = 139,159.89 × 56,127.54
  4. Step 4: Simplify right side
    100,840.50x = 7,810,702,292.37
  5. Step 5: Solve for x
    x = 7,810,702,292.37/100,840.50
  6. Step 6: Final answer
    x = 77,456.01

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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.