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Finding the Fourth Proportional to 101,440, 139,987.68 and 56,728

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Solution

The fourth proportional to 101,440, 139,987.68 and 56,728 is: 78,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,440 : 139,987.68 = 56,728 : x
  2. Step 2: Convert to fraction form
    101,440/139,987.68 = 56,728/x
  3. Step 3: Cross multiply
    101,440x = 139,987.68 × 56,728
  4. Step 4: Simplify right side
    101,440x = 7,941,221,111.04
  5. Step 5: Solve for x
    x = 7,941,221,111.04/101,440
  6. Step 6: Final answer
    x = 78,284.91

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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.