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Finding the Fourth Proportional to 101,412.90, 139,948.97 and 56,090.75

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Solution

The fourth proportional to 101,412.90, 139,948.97 and 56,090.75 is: 77,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,412.90 : 139,948.97 = 56,090.75 : x
  2. Step 2: Convert to fraction form
    101,412.90/139,948.97 = 56,090.75/x
  3. Step 3: Cross multiply
    101,412.90x = 139,948.97 × 56,090.75
  4. Step 4: Simplify right side
    101,412.90x = 7,849,841,708.83
  5. Step 5: Solve for x
    x = 7,849,841,708.83/101,412.90
  6. Step 6: Final answer
    x = 77,404.77

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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.