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Finding the Fourth Proportional to 101,615.74, 140,238.34 and 56,307.94

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Solution

The fourth proportional to 101,615.74, 140,238.34 and 56,307.94 is: 77,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,615.74 : 140,238.34 = 56,307.94 : x
  2. Step 2: Convert to fraction form
    101,615.74/140,238.34 = 56,307.94/x
  3. Step 3: Cross multiply
    101,615.74x = 140,238.34 × 56,307.94
  4. Step 4: Simplify right side
    101,615.74x = 7,896,531,543.05
  5. Step 5: Solve for x
    x = 7,896,531,543.05/101,615.74
  6. Step 6: Final answer
    x = 77,709.73

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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.