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Finding the Fourth Proportional to 101,732.94, 140,385.74 and 56,408.22

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Solution

The fourth proportional to 101,732.94, 140,385.74 and 56,408.22 is: 77,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,732.94 : 140,385.74 = 56,408.22 : x
  2. Step 2: Convert to fraction form
    101,732.94/140,385.74 = 56,408.22/x
  3. Step 3: Cross multiply
    101,732.94x = 140,385.74 × 56,408.22
  4. Step 4: Simplify right side
    101,732.94x = 7,918,909,424.74
  5. Step 5: Solve for x
    x = 7,918,909,424.74/101,732.94
  6. Step 6: Final answer
    x = 77,840.17

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1.5x scale

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.