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Finding the Fourth Proportional to 101,097.48, 139,515 and 55,776

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Solution

The fourth proportional to 101,097.48, 139,515 and 55,776 is: 76,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097.48 : 139,515 = 55,776 : x
  2. Step 2: Convert to fraction form
    101,097.48/139,515 = 55,776/x
  3. Step 3: Cross multiply
    101,097.48x = 139,515 × 55,776
  4. Step 4: Simplify right side
    101,097.48x = 7,781,588,640
  5. Step 5: Solve for x
    x = 7,781,588,640/101,097.48
  6. Step 6: Final answer
    x = 76,971.14

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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.