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Finding the Fourth Proportional to 101,150, 139,587 and 56,438

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Solution

The fourth proportional to 101,150, 139,587 and 56,438 is: 77,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,150 : 139,587 = 56,438 : x
  2. Step 2: Convert to fraction form
    101,150/139,587 = 56,438/x
  3. Step 3: Cross multiply
    101,150x = 139,587 × 56,438
  4. Step 4: Simplify right side
    101,150x = 7,878,011,106
  5. Step 5: Solve for x
    x = 7,878,011,106/101,150
  6. Step 6: Final answer
    x = 77,884.44

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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.