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Finding the Fourth Proportional to 101,102.31, 139,565.93 and 65,309.77

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Solution

The fourth proportional to 101,102.31, 139,565.93 and 65,309.77 is: 90,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102.31 : 139,565.93 = 65,309.77 : x
  2. Step 2: Convert to fraction form
    101,102.31/139,565.93 = 65,309.77/x
  3. Step 3: Cross multiply
    101,102.31x = 139,565.93 × 65,309.77
  4. Step 4: Simplify right side
    101,102.31x = 9,115,018,461.59
  5. Step 5: Solve for x
    x = 9,115,018,461.59/101,102.31
  6. Step 6: Final answer
    x = 90,156.38

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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.